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"determine the slope of the line, then graph the line."

Determine The Slope Of The Line Then Graph The Line class=

Sagot :

To find the slope, we have to use two points from the given tables. Let's choose (-2,-2), and (8,0).

Now, we use the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-(-2)}{8-(-2)}=\frac{2}{8+2}=\frac{2}{10}=\frac{1}{5}[/tex]

Therefore, the slope is 1/5.

Now, we use the slope, one point, and the point-slope formula to find the equation of the line.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-0=\frac{1}{5}(x-8) \\ y=\frac{1}{5}x-\frac{8}{5} \end{gathered}[/tex]

At last, we graph this equation. The image below shows the graph.

View image BenjamineR457789
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