What’s the y = to ???

y=1.5x-5

Step-by-step explanation:

First, we solve for the slope. The slope can be found by dividing the change in y by the change in x. We take:

(4,1)

(2,-2)

change in y: 1-(-2) = 3

change in x: 4-2 = 2

therefore, the slope is 3/2, or 1.5.

Second, we solve for the y-intercept (the b in mx+b).

Because we know that the slope is 1.5, we can simply plug it into a coordinate to find the y-intercept.

Let's take the coordinate (4,1).

4 is the x-coordinate, so we multiply by 1.5 (because the equation is of the form mx+b, m being slope and x being the x-coordinate value). The product is 6.

We know that 6 + b = 1. b must, therefore, be -5.

We plug it into the second coordinate to check.

2*1.5 = 3. 3-5 = -2. This is correct!

The equation for the given points is y=1.5x-5