Question

What is the slope of this line?
O -1/3
O 2/3
O -2-3
O 1/3

Answer 1

Answer: 2/3 (choice B)

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Step-by-step explanation:

Pick any two points from that blue line.

I'll pick (0,-3) and (3,-1)

Apply the slope formula to those coordinates.

`(x_1,y_1) = (0,-3) \text{ and } (x_2,y_2) = (3,-1)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (-1 - (-3))/(3 - 0)\\\\m = (-1 + 3)/(3 - 0)\\\\m = (2)/(3)\\\\`

The slope is 2/3

A slope of 2/3 means we go up 2 and to the right 3.

Slope = rise/run = 2/3

rise = 2

run = 3