Question

The equation for line a is shown. y=-2/3 x-4

line a and b are parallel, and the point (-2,1) lies on line b. write the equation for line b

Answer 1

Explanation:

line a slope (x coefficient)= -2/3

Parallel lines have the same slope and will never intersect.

line b slope = -2/3

line equation =

y =mx + b

m = slope

y= -2/3 x + b

from the point given (-2,1)

x = -2

y = 1

1 = 4/3 + b

b = -1/3

b equation =

y = (-2/3)x - (1/3)