Write an equation in slope intercept form that passes
through the points (-4,6)
and (-5,-2).
y = 4x + 24
y = 4x – 38
y = 8x + 38
y = -8x + 38

y=8x+38

Step-by-step explanation:

First, let's solve for our slope.We would use the equation m=y2-y1/x2-x1.

1. Label your points as x1 y1 and x2 y2.

(-4,6) (x1,y1) and (-5,-2) (x2-y2)

2. Plug your points into the equation: m=y2-y1/x2-x1

m= -2-6/-5-(-4)

m=-8/-1

m=8

Now we have our slope. To find b, we need to plug our coordinates.

1. Take one of your coordinates and plug in the x and y. First use (-4,6)

y=8x+b --> 6=8(-4)+b

2. Multiple 8(-4) and move to the other side of the equation in order to get b by itself.

6=-32+b

6+32=b

38=b

Now repeat the process with the other coordinate. (-5,-2)

y=8x+b ---> -2=8(-5)+b

-2=-40+b

-2+40=b

38=b

Your final equation is:

y=8x+38

f(x) = y

f(-3) = -5

step-by-step explanation: