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3 years ago

What is the point-slope equation of a line if the slope is 3 and it passes through the point (-9, 2

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

The point-slope equation of the line is y - 2 = 3(x + 9)

Step-by-step explanation:

The form of the point-slope equation is y - y1 = m(x - x1), where

m is the slope of the line

(x1, y1) is a point on the line

∵ The slope of a line is 3

∴ m = 3

∵ The line passes through point (-9, 2)

∵ x1 = -9

∴ y1 = 2

→ Substitute the values of m, x1, and y1 in the point-slope form

∵ y - y1 = m(x - x1)

∴ y - 2 = 3(x - (-9))

→ Remember (-)(-) = (+)

∴ y - 2 = 3(x + 9)

∴ The point-slope equation of the line is y - 2 = 3(x + 9)

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