Answer:
y = 3x - 5
Explanation:
First, you find the slope by finding the change in y and dividing that by the change in x of the two points.
-2 - 4 = -6, so -6 is the change in y.
1 - 3 = -2, so -2 is the change in x.
Then, since slope is change in y divided by change in x, you have -6/-2 = 3.
So far your equation is y = 3x + b and you're trying to find b to finish the equation.
To do this, you can pick one of the points and substitute the x and y values into the equation to find what value of b makes it true. Using (1, -2) we have
y = 3x + b --> -2 = 3(1) +b
-2 = 3 + b
b = -5
That means your equation is y = 3x - 5