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JulsSmile [24]
3 years ago
10

What equation is graphed in this figure?

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer:

c. y + 2 = -3(x - 1)

Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

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

m = -3

Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in y - y_1 = m(x - x_1).

Thus, we would have:

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

y + 2 = -3(x - 1)

The equation that is graphed in the figure is:

✔️y + 2 = -3(x - 1)

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