Write an equation of the line that passes through a pair of points: (-5,-2), (4,5)
It’s not b

C

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (-5, -2) and (4, 5).

First, let’s determine the slope of the line. We can use the slope formula:

Let (-5, -2) be (x₁, y₁) and let (4, 5) be (x₂, y₂). Substitute appropriately:

Evaluate:

So, our slope is 7/9.

Now, we can use the point-slope form to determine the rest of the equation:

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute 7/9 for m.

For consistency, we will also let (x₁, y₁) be (-5, -2). Hence:

Simplify:

Distribute:

Subtract 2 from both sides. Note that 2 is equivalent to 18/9. Hence:

Simplify:

Therefore, our answer is C.