Question

Select the equation corresponding to the red line in this diagram:

Answer 1

Answer:

$\boxed{\text{C. y = -2x + 8}}$

Step-by-step explanation:

The equation of a straight line is

y = mx + b,

where m is the slope and b is the y-intercept.

Your graph passes through the points (0,8) and (7, -6).

$m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2} -x_{1} } = \dfrac{-6 - 8}{7 - 0}= \dfrac{-14}{7} = \mathbf{-2}$

The y-intercept is at y = 8.

$\text{Thus, the equation for your line is }\boxed{\mathbf{y = -2x + 8}}$