Find the point-slope equation for the line that passes through the points (5, 19) and (-5, -1). Use the first point in your equation.

asked Sep 14, 2023 43.0k views

20 votes

Find the point-slope equation for the line

that passes through the points (5, 19) and
(-5, -1). Use the first point in your
equation.

5.4k points

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10 votes

$m=(y_2-y_1)/(x_2-x_1)\\ =(-1-19)/(-5-5) \\=(-20)/(-10) =2\\y-y_(1) =m(x-x_1)\\\\m=2\\(x_1, y_1)=(5, 19)\\y - 19 = 2(x - 5)\\y = 2x+9$

Ian Ross answered Sep 20, 2023

4.9k points

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