Answered

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Find the equation for the line below

Sagot :

To find the equation of the line we have to find the slope and the intercept so the slope can be found with this equation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Now we replace two coordinates in the line, so we can see the cordinates (-6,-6) and (4,-4) so:

[tex]\begin{gathered} m=\frac{-4-(-6)}{4-(-6)} \\ m=\frac{2}{12} \\ m=\frac{1}{6} \end{gathered}[/tex]

And to find the intercept we replace x=0 and replace one of the coordinates so:

[tex]\frac{1}{6}=\frac{y-(-4)}{0-4}[/tex]

and we solve for y so:

[tex]\begin{gathered} -\frac{4}{6}=y+4 \\ -\frac{2}{3}-4=y \\ -4.66=y \end{gathered}[/tex]

So the equation is:

[tex]y=\frac{1}{6}x-4.66[/tex]

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