Question

Find the slope of each line what does m equal?

Answer 1

Answer:

The slope of the line = 1/2

Step-by-step 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:

`$$m\text{ = }(y_2-y_1)/(x_2-x_1)$$`
`\begin{gathered} x_1=1,y_1=-1,x_2=-3,y_2\text{ = -3} \\ slope\text{ = }(-3-(-1))/(-3-1) \\ slope\text{ = }(-3+1)/(-4) \\ \end{gathered}`

`\begin{gathered} slope\text{ = }(-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}`