In Progress What is an equation in slope-intercept form of the line that passes through the points (-2,-2) and (1,7)?
A.
y
C-
B. y = 3.0 +4
=
+
olos
O D. = 3.c – 2

The answer is “B. y = 3x + 4”

Explanation:

To find the slope of two points, we need to use the formula m=rise/run or m=y2-y1/x2-x1

-2-7 -9
m = ——— = — = 3
-2-1 -3

Now we have to find “b” as in the equation “y=mx+b”

We already have our “m” which is the slope and that is equal to 3

In order to fine “b,” we have to set it up in point slope form which is the formula
“y-y1 = m(x-x1)”

You can choose to set this up with either one of the coordinates given

In this problem, the coordinates given are
(-2, -2) and (1, 7)

I’m going to use the coordinates (1, 7)

y-y1 = m(x-x1)
y-7 = 3(x-1)

The “7” is the y point
The “3” is the slope
The “1” is the x point

Now we simplify the equation:

y-7 = 3(x-1)
y-7 = 3x-3
+7 +7
—————
y = 3x + 4

Hope this helps and makes sense :)