Math help problem

Question

Consider the line with the equation: y=−32x+18

 Give the equation of the line parallel to Line 1 which passes through (−2,5) :

Give the equation of the line perpendicular to Line 1 which passes through (−2,5) :  

Answer 1

y=-32x + 18

parallel line through the point (-2,5) has same slope = -32, the coefficient of the x term when a linear equation is solved fo x, but a different y intercept = b

y-5 = -32(x+2) = -32x -64

y =-32x-64+5

y = -32x -59 is the equation of the line parallel to L1 through the given point, in slope intercept form

32x+y +59 =0 is the equation in general form