Write an equation of the line that passes through the points (3,2) and (1,-2)

Hey there!

We can first find the slope of the line using our slope given two points formula:

y2-y1/x2-x1 = -2-2/1-3 = -4/-2 = 2

Now that we know our slope is two, we can plug that back along with an x and y from one of the points into slope intercept form to solve for b. Remember, we need a slope and y intercept to make it into slope intercept, which is defined as:

y = mx + b, which m as the slope and b as the y intercept.

We'll use (3,2). Plug in those points and the slope:

2 = 3(2) + b
2 = 6 + b
-4 = b

Now, with our y intercept and slope, we can make the equation:

y = 2x-4

Hope this helps!