Calculate the equation of the line through the points (-1, 1), (4, 0), and (24, -4)

So if the line is linear we can use slope intercept form to find the equation of the points: y=mx+b

To calculate m, the slope we subtract two of the points (I’ll use the first two):

(-1, 1)
(4, 0)

This equals 0-1/4+1, which simplifies to -1/5

So the slope is -1/5 and we can put that into slope intercept form along with a point to get b, the y-intercept.

So, y=-1/5x+b

Now we substitute x and y with a point.

1=-1/5(-1)+b
1=1/5+b
b=4/5

So the equation is:
y=-1/5x+4/5

I hope this helps!

Where’s the graph too show me?