Question

What is the equation of this graphed line?

Answer 1

$\boxed{y=-\frac{9}{8}x+7}$

Explanation:

In order to find the equation of this line, we'll use the Slope-Intercept form:

$y=mx+b \\ \\ \\ Where: \\ \\ m=Slope \\ \\ b:y-intercept$

From the graph, we know that the y-intercept is the point:

$(0,7) \\ \\ \\ So: \\ \\ b=7$

With two points we can find the slope, so;

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ \\ (x_{1},y_{1})=(0,7) \\ \\ (x_{2],y_{2})=(8,-2) \\ \\ m=\frac{-2-7}{8-0} \\ \\ m=-\frac{9}{8}$

Finally, the equation of the lines is:

$\boxed{y=-\frac{9}{8}x+7}$

Learn more:

System of linear equations: https://brainly.com/question/13799715

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