First, calculatge the slope using the slope
formula:
m = (y1 - y2) / (x1 -
x2)
m = (9 - 7) / (-6 - -7)
m
= 2/1
m = 2
Now substitute 2
in for m in the slope-intercept equation.
y = mx +
b
y = 2x + b
Now you need to
find b, which represents the y-intercept. Select one of the points and substitute these
values in for x and y.
7 = 2(-7) +
b
7 = -14 + b
21 =
b
You can use the other point to check
this.
9 = 2(-6) + b
9 = -12 +
b
21 = b
We know the slope is
2 and the y-intercept is 21.
Equation: y =
2x + 21
Graph the equation and you can see
that the line passes through both given points.
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