Answer:
y=1.5x-5
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