Determine the equation of the line that passes through the point(-7,-1/3), and is perpendicular to the line y = -3x – 2.Enter your answer in slope-intercept form. EquationPls see picture

Determine the equation of the line that passes through the point713 and is perpendicular to the line y 3x 2Enter your answer in slopeintercept form EquationPls class=

Respuesta :

We will have the following:

First, since we need the line to be perpendicular we take the slope of the function given and find the slope of the line we want, that is:

[tex]m=-\frac{1}{(-3)}\Rightarrow m=\frac{1}{3}[/tex]

Now, we find the line as follows:

[tex]y-(-\frac{1}{3})=\frac{1}{3}(x-(-7))\Rightarrow y+\frac{1}{3}=\frac{1}{3}x+\frac{7}{3}[/tex][tex]\Rightarrow y=\frac{x}{3}+2[/tex]

So, the equation that we are looking for is:

[tex]y=\frac{x}{3}+2[/tex]

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