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Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).

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BrokeNCTzen
Answer: y=-3x-7

Explanation: In the form y=mx+b, m is the slope and b is the y-intercept. To find the slope given 2 points, you can use the method: (y2-y1)/(x2-x1). When you substitute the points into this formula, it becomes:

(2-(-10))/((-3)-1)
=12/-4
=-3
m=-3

Now that you have the value of m, your equation becomes: y=-3x+b. All you need to do now is find b. To do so, you can choose either one of the points to substitute into your equation. I’ll use the first point as an example:

2=-3(-3)+b
2=9+b
b=-7

Now that you have the value of b, you can write in the final equation: y=-3x-7.

Hope that helps シ
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