Write an equation of the line that passes through the given points. (-1,7) (3,-9)

y=-4x+3

Step-by-step explanation:

If we wanted to write an equation for the line in slope intercept form, than first we would need to find the slope. We can do this by using the equation y2-y1/x2-x1=m or slope. Slope intercept form can be written as y=mx+b.

-9-7=-16

3--1 or 3+1=4

Now we can divide.

-16/4=-4

The slope is -4

Now we have to find the y intercept, or b.

To do so, insert all of the place values we know into the equation and solve for b.

7=4+b

3=b

So the y-intercept is 3.

Finally, we can write the complete equation as y=-4x+3

Hope this helps! :D