Question

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

A. y= 2x+8

B. y= 2x-8

C. y= -2 x+8​

Answer 1

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

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 = (\Delta y)/(\Delta x) = (y_(2)-y_(1))/(x_(2) -x_(1) ) = (-6 - 8)/(7 - 0)= (-14)/(7) = \mathbf{-2}`

The y-intercept is at y = 8.

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