Question

A line crosses through the points (0, 2) and

(-10, - 16). Which of the following is the slope
of the line?

Answer 1

Answer: 9/5

Work Shown

`\text{Given Points: }(x_1,y_1) = (0,2) \text{ and } (x_2,y_2) = (-10,-16)\\\\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 = (-16 - 2)/(-10 - 0)\\\\m = (-18)/(-10)\\\\m = (9)/(5)\\\\`

A slope of 9/5 means "go up 9, and right 5" since the rise is 9 and run is 5.

The fraction 9/5 in decimal form is exactly equal to 1.8; unfortunately we lose the "up 9, right 5" information if we convert to decimal form.