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2 years ago

What is the equation in slope-intercept form that passes through the points (-3,4) and (3,2).

Mathematics

1 answer:

Shkiper50 [21]2 years ago

8 0

Answer:

y = -1/3x +3

Step-by-step explanation:

the slope, m, is equal to the rise over the run

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

m = (2-4) / (3+3)

m = -2/6 = -1/3

y-y1 = m (x-x1)

y-4 = -1/3(x+3)

y -4 = -1/3x - 1

y = -1/3x -1 +4

y = -1/3x + 3

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The ratio of these is 2/3, so we have ...

$\dfrac{2d-15+5}{d+7}=\dfrac{2}{3}\\\\3(2d-10)=2(d+7) \quad\text{cross multiply}\\\\4d=44 \quad\text{add 30-2d}\\\\d=11\\\\2d-15=2(11)-15=7$

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