Question

Part a. Write the equation of the line that is parallel to the line y = -2/5x and contains the point (5,-3).

Part b. Write the equation of a line that is perpendicular to the line y = 1/4x + 2 and contains the point (11,4).

Answer 1

y = -2/5x

Slope = -2/5

Since the Lines are parallel their slopes are = ie -2/5

using point slope form (5,-3).

y-y1=m(x-x1)

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

nw rearrange in the form y = mx+c

for part b Use the idea that product of their slopes =-1 and use the same idea

Answer 2

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