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Umnica [9.8K]
3 years ago
15

What is the slope-intercept equation of the line going through (3, -6) and

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

Hi there!

\large\boxed{D. \text{ }y = -4x + 6}

To derive an equation given the points, we can use the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}

Plug in the corresponding coordinates:

slope = \frac{-6-2}{3-1}

Simplify:

slope = \frac{-8}{2} = -4

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

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