Question

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2,4)?

Y=-5/2x-1

y=-5/2x+5

y=2/5x-1

Y=2/5x+5

Answer 1

y=-5/2x-1

Explanation:

change the equation to slope intercept form

y=-5/2x+6

graph the point (-2, 4)

use the slope of the equation to find the y intercept

y intercept = -1

write equation of the parallel line using the same slope of the first line

-5/2x

and the y intercept of the new parallel line -1

y=-5/2x-1