Question

What equation is graphed in this figure?

Answer 1

Answer:

C. $y + 2 = -3(x - 1)$

Step-by-step explanation:

All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.

Thus, equation of in point-slope form is given as $y - y_1 = m(x - x_1)$.

Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).

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

Substitute (x1, y1) = (1, -2) and m = -3 into $y - y_1 = m(x - x_1)$

$y - (-2) = -3(x - 1)$

$y + 2 = -3(x - 1)$

The answer is C.