Which equation represents the line that passes through the points (3,4) and (1,-2)

y = 3x - 5

Step-by-step 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

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step-by-step explanation: