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help with homework for graph to answer just need the answer no explanation thank you

Help With Homework For Graph To Answer Just Need The Answer No Explanation Thank You class=

Sagot :

First, we need to find the line equation of the given graph. In our to do it, we can choose 2 points along the line, for instance,

[tex]\begin{gathered} (x_1,y_1)=(-1,-2) \\ (x_2,y_2)=(0,2) \end{gathered}[/tex]

Then, the slope is given by

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{2-(-2)}{0-(-1)}=\frac{4}{1}=4 \end{gathered}[/tex]

And we can note that the y-intercept is y=2. Thefore, the line equation is

[tex]y=4x+2[/tex]

By comparing thsi result with the given options, the equations with larger y-intercept and smaller rate are:

[tex]\begin{gathered} y=\frac{1}{5}x+3 \\ \\ y=2x+5 \end{gathered}[/tex]

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