Find the slope of the line graphed below

 slope = 3/5

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

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.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .