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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.
1) find the slope using (y1-y2)/(x1-x2)
2) using either point and the value of the slope, plug them into the slope-intercept equation y = mx + b to find b.
3) rewrite y = mx + b; sub in the slope and y-intercept, here's your equation
(7-9)/-7--6)=m=-2/-1 = 2
7=2(-7)+b 7 = -14 + b 21 = b
y = 2x + 21
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