Question

#6 i

Write an equation in slope-intercept form of the line that passes through (-9, 5) and (-3, 3).
y =
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Answer 1

y = 0.43x + 8.87

Explanation:

Slope intercept form means:

y = mx + b

To find m, or slope, you need to use this formula:

m = (y2 - y1) / (x2 - x1)

Now, just plug in the values

x1 = -9

x2 = 5

y1 = -3

y2 = 3

m = (3 - -3) / (5 - -9)

m = (6) / (14)

m = 0.43

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To find b, or the y-intercept, use a point we already have and solve for b like this:

Let's use (-9, 5).

y = mx + b

(5) = (0.43)(-9) + b

5 = -3.87 + b

b = 8.87

So, the equation would be y = 0.43x + 8.87