Question

Write an equation in slope-intercept form of the line that contains the point (-2, 2) and has the slope = -5.

Answer 1

Answer:

$y=-5x-8$

Step-by-step explanation:

Given the following question:

To calculate the slope intercept of a line/point we need to use the formula for slope intercept, substitute, and solve for b.

Formula for slope intercept:
$y=mx+b$
$m=-5$
$y=2$
$x=-2$
$2=-5(-2)+b$

Solve for b:
$2=-5(-2)+b$
$-5(-2)=10$
$2=10+b$
$10-10=0$
$2-10=-8$
$-8=b$
$b=-8$

Substitute for the following:
$y=mx+b$
$b=-8$
$m=-5$
$y=-5x-8$

Your answer is "y = -5x - 8."

Hope this helps.