Question

What is the slope of the line shown?

Answer 1

let's take a peek at the line and let's use two points from it, hmmmm it passes through (0, 8) and hmm (4, -4), so

`\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-8}{4-0}\implies \cfrac{-12}{4}\implies -3`

Answer 2

slope = -3

Explanation:

To find out slope, pick two points from the line

(0,8) and (2,2)

Slope formula =
`(y_2-y_1)/(x_2-x_1)`

(0,8) is (x1,y1)

(2,2) is (x2,y2)

Plug in all the values in the formula

Slope=
`(2-8)/(2-0)`

=
`(-6)/(2) =-3`

The slope of the given line is -3