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Home / Assignment Help / Write the equation of the line perpendicular to 3x + y = -8 that passes through (-3,1) . Write your answer in slope-intercept form. Show your work.

# Write the equation of the line perpendicular to 3x + y = -8 that passes through (-3,1) . Write your answer in slope-intercept form. Show your work.

Looks as tho’ there are several possible answers, which you unfortunately have not shared.  But anyway…    We can rewrite   y=3/4x−5/2y    in standard form with confidence.  Standard form here would be   y = mx + b (slope-intercept form).

In

y=3/4x−5/2y   there are 2 terms in y.  We need to combine them.
To do this, add (5/2)y to both sides.  This results in:

y + (5/2)y = (3/4)x

Can you combine the coefficients of y into one fraction?  1 + (5/2) = ?

Result:  (7/2)y = (3/4)x.  Multiply both sides of this equation by (2/7) to solve the equation for y.

Note that there is another “standard form” for this equation; it looks like either Ax+By+C=0 or Ax+By=D.  Can you put

(7/2)y = (3/4)x  into one of these forms?