Complete the equations of the line through (-8, - 2) and (-4, 6)

y = 2x + 14

Step-by-step explanation:

As we move from (-8, - 2) to (-4, 6) , x increases by 4 and y increases by 8.

Thus, the slope, m, equal to rise / run, is m = 8/4, or m = 2.

Use the slope-intercept form of the equatino of a straight line:

y = mx + b. This becomes 6 = 2 (-4) + b, or 6 = - 8 + b. Thus, b = 14, and the desired equation is y = 2x + 14.