Question

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

Answer 1

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.