Question

write an equation of the line that passes through (-4,2) and is parallel to 5x+y=8. Please put your answer in slope-intercept form

Answer 1

Explanation:

rewrite the equation in slope intercept form

y = - 5x + 8

so, the slope is -5

to find an equation parallel to 5x + y = 8, they must have the same slope. so you need to use the slope of 5x + y = 8 and the point (-4, 2) to find the parallel line.

use the point-slope formula: y= mx +c

m= -5; x= -4; y= 2

2 = -5(-4) + c

2= 20 +c

-18 = c

the new equation in slope intercept form is y = -5x -18