Answer: choice D) the slope is 2
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Work Shown:
Pick any two points on the line. I'm going to pick (0,1) and (1,3)
Label these two points as (x1,y1) and (x2,y2).
So,
(x1,y1) = (0,1) meaning that x1 = 0 and y1 = 1
(x2,y2) = (1,3) meaning that x2 = 1 and y2 = 3
Now use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (3-1)/(1-0)
m = 2/1
m = 2
Going from (0,1) to (1,3) we move 2 units up and 1 unit to the right.
The "2 units up" is the "rise"
The "1 unit to the right" is the "run"
Slope = rise/run = (change in y)/(change in x)