The line which is parallel to the line KL passes through the point i.e, .

**Further explanation:**

From the given figure in the question it is observed that the line KL has a -intercept and a – intercept.

From the given figure it is observed that the line intersect the -axis at the point and intersects the -axis at the point .

This implies that the -intercept is and the -intercept is .

Consider the point as and as .

The **slope** of a line which passes through the points and is calculated as follows:

Substitute the value of and in the above equation.

Therefore, the **slope** of the line KL is.

Since, the slope of line KL is so, the slope of the line which is parallel to KL is also because two **parallel lines** always have **equal slope**.

It is given that the line which is parallel to the line KL passes through the point M.

From the given figure it is observed that the coordinate for point M is .

The **point slope** form of a line is as follows:

To obtain the equation of the line which is parallel to the line KL substitute for , for and for in the above equation,.

Therefore, the equation of the line which is parallel to the line KL is as follows:

Label the above equation as equation (1).

(1)

**Option1:**

As per the **option 1** the line passes through the point .

Substitute for in equation (1).

As per the above calculation it is concluded that the line passes through the point .

Therefore, the **option 1** is **incorrect**.

**Option 2:**

As per the **option 2** the line passes through the point .

Substitute for in equation (1).

As per the above calculation it is concluded that the line passes through the point .

Therefore, **option 2** is **incorrect**.

**Option 3:**

As per the **option 3** the line passes through the point .

Substitute for in equation (1).

As per the above calculation it is concluded that the line passes through the point .

Therefore, **option 3** is **incorrect**.

**Option 4:**

As per the **option 4** the line passes through the point .

Substitute for in equation (1).

As per the above calculation it is concluded that the line passes through the point .

Therefore, **option 4** is **correct**.

**Figure 1** (attached in the end) shows that the line KL and the line are parallel.

Thus, the line which is parallel to the line KL passes through the point i.e, .

**Learn more:**

1. A problem on greatest integer function brainly.com/question/8243712

2. A problem to find radius and center of circle brainly.com/question/9510228

**Answer details:**

**Grade:** High school

**Subject:** Mathematics

**Chapter:** Lines

**Keywords:** Line, slope, intercept, x-intercept, y-intercept, slope intercept form, point slope form, curve, graph, intersects, equation, linear equation, (8,-10), y=-2x/3-14/3, KL, passes through M.