Answer:
The slope of the line = 1/2
Explanation:
Given:
The graph of a line
To find:
the slope of the line
To determine the line's slope, we will pick two points on the graph. Using the points on the line (1, -1) and (-3, -3) in the slope formula:
[tex]$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$[/tex][tex]\begin{gathered} x_1=1,y_1=-1,x_2=-3,y_2\text{ = -3} \\ slope\text{ = }\frac{-3-(-1)}{-3-1} \\ slope\text{ = }\frac{-3+1}{-4} \\ \end{gathered}[/tex]
[tex]\begin{gathered} slope\text{ = }\frac{-2}{-4} \\ \\ division\text{ of same signs give positive sign} \\ slope\text{ = 2/4} \\ \\ slope\text{ = 1/2 \lparen lowest term\rparen} \\ m\text{ = 1/2} \end{gathered}[/tex]
