The only graph with a slope of 4/5 is;
Graph 2
The slope of the graph is simply rise divided by run or defined as the change in y-coordinates divided by the corresponding change in x-coordinate.
Thus; m = (y₂ - y₁)/(x₂ - x₁)
Graph 1; Let us pick two coordinates;
(1, 2) and (2, 3)
m = (3 - 2)/(2 - 1)
m = 1
Graph 2; Let us pick two coordinates;
(-1, 1 ) and (4, 5)
m = (5 - 1)/(4 - (-1))
m = 4/5
Graph 3; Let us pick two coordinates;
(-2,0) and (3, 2)
m = (2 - 0)/(3 - (-2))
m = 2/5
Graph 4; Let us pick two coordinates;
(1, 1) and (4, 5)
m = (5 - 1)/(4 - 1)
m = 4/3
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