(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.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.