write an equation of the line that passes through (-5,2) and is (a) parallel to and (b) perpendicular to y=2x-3.

Answer 1

a) y= 2x +b

2 =2(-5) + b

b =12

y=2x+12 is parallel through the given point

b) y=-(1/2)x + b

2 = -(1/2)(-5) + b

2 = 5/2 + b

b = -1/2

y=-x/2 - 1/2 is perpendicular through the given point