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A regression line was calculated as ŷ = 1.7x + 2.1. What is the slope of the regression line. is _____.

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# Tag: slope

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What is the slope of this line x+3y=10

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How do you find the equation of a line when the slope is 5 and contains the point (3,2)?

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Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is −4 negative 1 over 4 1 over 4 4

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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? y + 2 =(x + 3) y – 2 = (x – 3) y + 3 = (x + 2) y – 3 = (x – 2)

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Jeff and jill are collecting coats for kids. They hope to collect 20 coats per day to reach their goal. They have already collected 100 coats. If the function for this problem is f(c) =20d+100,describe the slope he slope represents the number of days the coats were delivered. the slope represents the number of people who donated each day. the slope represents the number of coats collected each day. None of the choices are correct.

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## Which equation has a slope m=2/3

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Which equation has a slope m=2/3

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How many solutions does a system of two linear equations have if the slope of each equation is different and the y-intercepts are the same?

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Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?

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Write the equation of the line that passes through (1,5) and (-2,14) in slope intercept form

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### Answered by answersmine AT 22/10/2019 – 03:50 AM

Eric’s statement is correct that the slopes of the perpendicular lines are opposites reciprocal with each other compared to Aviva’s. Aviva’s statement is correct but is not usually the case. An example is that when you are given these functions such as y = -2x + 3 and y = 1/2x + 4. The coefficients of the x variable are 2 and negative 1/2. The slopes must be in opposite signs so that the two functions will intersect at a common point and will form a ninety degree angle. This is the very basis of a perpendicular line because if both lines have the same slopes, then both lines are just parallel with each other, they cannot intersect.

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What is the slope of the line containing (-2,5) and (4,-4)

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**Answer: d. There is no slope.**

**Step-by-step explanation:**

We know that slope =

For the given table, since there is no change in x coordinate .

Thus the change in x coordinate is 0.

Therefore, slope=

which means the slope does not exist.

Hence, (d) is the right option. ** There is no slope.**

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In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

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well, the slope will be positive when the minutes (x) are increasing and the altitude (y) is also increasing

the slope will be negative when the minutes (x) are increasing and the altitude (y) is decreasing

we see that x increase

and y decreases

so the slope is negative because as minutes incrases, altitude decreases

D is answer

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Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3 x – 2?

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**The basis to respond this question are:**

**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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While

heterogeneous mixtures are different throughout, as in containing different substances or having materials in different phases (gas, liquid, solid) mixed in, a homogeneous mixture is the same in both appearance and composition throughout.

Basically…

Heterogeneous: different

Homogeneous: same

Some examples of

heterogeneous mixtures are trail mix, cereal, and pizza.

Some examples of homogeneous mixtures are water, bronze, and laundry detergent.

Another name for a

heterogeneous mixture is a compound.

Another name for a homogeneous mixture is a solution.

So…

Heterogeneous Mixture = Compound

Homogeneous Mixture = Solution

Heterogeneous Mixture ≠ Homogeneous Mixture

Compound ≠ Solution

With this information, we can answer the question!

The question asks which choice pairs words that are the same thing.

So the answer will be the choice that is either “

Heterogeneous Mixture and Compound” or “Homogeneous Mixture and Solution.”

The answer is **D. ****a homogenous mixture and a solution.**

Hope this helps!

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**The basis to respond this question are:**

**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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What is the point slope equation of the line with slope -12 that goes through the points (5, 3)?

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**Answer: undefined**

**Step-by-step explanation:**

**The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-**

**The given points** : (-4, 3) and (-4, 7)

**Then , the slope of a line passing through two points (-4, 3) and (-4, 7) is given by :-**

Since , the parallel have the same slope .

**Therefore, the slope of the line that is parallel to line m is undefined.**

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**The basis to respond this question are:**

**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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