Question

Find the slope of the line graphed below.

Answer 1

Answer: 1

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Work Shown:

`(x_1,y_1) = (-2,-2) \text{ and } (x_2,y_2) = (3,3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (3 - (-2))/(3 - (-2))\\\\m = (3 + 2)/(3 + 2)\\\\m = (5)/(5)\\\\m = 1\\\\`

The slope is 1

It means we go up 1, and to the right 1 to get from one point to another. Think of 1 as 1/1 to help fit the slope = rise/run template.

rise = 1 = go up 1

run = 1 = go right 1

Side note: The equation of that line is y = x.