Question

Determine the equation of a line parallel to y=-2x+7 with the same x intercept as 3y-4x=16.

Answer 1

Answer:

4x+2y=14

-4x+3y=16

5y=30

y=30/5

y=6

2x+y=7

2x+6=7

2x=7-6

x=1/2

Answer 2

Answer:

y = - 2x - 8

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept.

Find x-intercept of line 3y - 4x = 16

- 4x = - 3y + 16

x = $\frac{3}{4}$ y - 4

(- 4, 0) is y-intercept

Write the equation of line with slope (- 2) and passing through point (- 4, 0)

y - 0 = - 2(x + 4)

y = - 2x - 8