Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{4 - 3} = \frac{-2}{1} = -2$

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)