Question

What is the slope of the line shown?

Answer 1

Answer:

slope = -3

Step-by-step explanation:

To find out slope, pick two points from the line

(0,8)  and (2,2)

Slope formula =$\frac{y_2-y_1}{x_2-x_1}$

(0,8) is (x1,y1)

(2,2) is (x2,y2)

Plug in all the values in the formula

Slope=$\frac{2-8}{2-0}$

= $\frac{-6}{2} =-3$

The slope of the given line is -3

Answer 2

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

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