What is the equation of this graphed line?
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[tex]\boxed{y=-\frac{9}{8}x+7}[/tex]
In order to find the equation of this line, we'll use the Slope-Intercept form:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m=Slope \\ \\ b:y-intercept[/tex]
From the graph, we know that the y-intercept is the point:
[tex](0,7) \\ \\ \\ So: \\ \\ b=7[/tex]
With two points we can find the slope, so;
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ \\ (x_{1},y_{1})=(0,7) \\ \\ (x_{2],y_{2})=(8,-2) \\ \\ m=\frac{-2-7}{8-0} \\ \\ m=-\frac{9}{8}[/tex]
Finally, the equation of the lines is:
[tex]\boxed{y=-\frac{9}{8}x+7}[/tex]
System of linear equations: https://brainly.com/question/13799715
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