(0,-2) and (-5,3)
Slope =
y-intercept =
Slope intercept equation:

Slope =

y-intercept =

Slope-intercept equation:

Step-by-step explanation:

Let equal slope.

Start with:

For Point (0,-2):

,

For Point (-5,3):

,

Let's substitute those values in.

Rewrite.

Combine like terms.

Simplify.

__

Let equal the y-intercept.

Since we have our slope, let's format an equation as:

Substitute.

We can use either point for this next part, let's use point (-5,3).

Since the numbers are representatives of both & , we can substitute:

Multiply.

Subtract from both sides of the equation.

Let's rewrite.

__

Now that we have both our slope & y-intercept, let's put this into slope-intercept form.

Substitute.

step-by-step explanation: