Answer:
[tex]\boxed{\text{C. y = -2x + 8}}[/tex]
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).
[tex]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}[/tex]
The y-intercept is at y = 8.
[tex]\text{Thus, the equation for your line is }\boxed{\mathbf{y = -2x + 8}}[/tex]
