Question

Use the coordinates of the labeled point to find a point-slope equation of the line
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Answer 1

B. y + 2 = -2(x - 4)

Explanation:

First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (-2 - 0)/(4 - 3) = (-2)/(1) = -2`

Slope (m) = -2.

Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)

Thus:

y - (-2) = -2(x - 4)

y + 2 = -2(x - 4)