Question

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

Answer 1

`y=-5x-8`

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.