Respuesta :

You are asked to find the equation of the line that passes through 2 points: (-2,8) and (-4,-4).

1st step: Find the slope of the line

slope: m = change in y / change in x

m = (8 - (-4)) / (-2 - (-4))

m = (8 + 4) / (-2 + 4)

m = 12 / 2

m = 6

2nd step: Put one of the given points and the slope into the "Point-Slop formula": y - y1 = m (x - x1)

y - 8 = 6 (x - (-2))

y - 8 = 6 (x + 2)

y - 8 = 6x + 12

y = 6x + 12 + 8

y = 6x + 20

Equation of the line that passes through (-2,8) and (-4,-4): y = 6x + 20

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