(1,-3) (-3,1) find the slope intercept form

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

The change between the x-values is -4.

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

If you just wanted to use the slope formula, you could do that too:

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done: