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Look at this graph. 100 80 60 40 20 -40 0 -80 -60 -20 20 40 60 100 -100 80 20 -40 -60 -80 -100 What is the equation of the line in slope-intercept form?

Look at this graph 100 80 60 40 20 40 0 80 60 20 20 40 60 100 100 80 20 40 60 80 100 What is the equation of the line in slopeintercept form class=

Respuesta :

Answer:

The equation of the line is;

[tex]y=x-10[/tex]

Explanation:

Given the graph in the attached image.

We want to find the equation of the line;

The y-intercept of the line is at;

[tex]\begin{gathered} (0,-10) \\ b=-10 \end{gathered}[/tex]

The slope m of the line is;

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{20-0}{30-10} \\ m=\frac{20}{20} \\ m=1 \end{gathered}[/tex]

writing the equation of the line in slope-intercept form;

[tex]\begin{gathered} y=mx+b \\ y=(1)x+(-10) \\ y=x-10 \end{gathered}[/tex]

Therefore, the equation of the line is;

[tex]y=x-10[/tex]

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