Complete the equation of the line through (2,-2) and (4,1)

Question

(2,-2) and (4,1)

Answer 1

Hey!

The first step for this question is to find the slope of the equation. Slope is calculated through (y2 - y1) / (x2 - x1). Therefore, lets plug in the values for the slope formula (1--2)/(4-2), which equals 3/2. Therefore, the equation would be y = 3/2x + b. Now we need to solve for the value of b. Choose one of the coordinate points to figure out the value of b. Let's look at the coordinate point (2,-2) and plug in the value, which would look like (-2) = 3/2(2) + b. When solving for b, b would equal -5.

The final equation would be y = 3/2x - 5.

I hope this helps you! :)