Answer:
y = 2x + 8
Step-by-step explanation:
We want an equation of the form y = mx + b (slope-intercept).
Look what happens to x as we go from (0, 8) to (1, 10): x increases by 1. This is the 'run' as we calculate the slope.
At the same time, y increases by 2 from 8 to 10.
The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.
Write out y = mx + b and substitute 2 for m: y = 2x + b.
To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:
8 = 2(0) = b, so b = 8, and the desired equation is
y = 2x + 8
