Answer: slope = 3/5
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Step-by-step explanation:
Start at the red point on the left. The goal is to move to the other red point. We can do this by moving up 3 units, and then to the right 5 units.
rise = move up 3 units
run = move to the right 5
slope = rise/run = 3/5
slope = 3/5
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We can also use the slope formula as an alternative method.
The red point on the left is (x1,y1) = (-1,2)
The red point on the right is (x2,y2) = (4,5)
Use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (5-2)/(4-(-1))
m = (5-2)/(4+1)
m = 3/5
The slope is 3/5
Side note: you don't have to use the red points. It could be any two points on the blue line.