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Write the equation in slope-intercept form through the point (2, -1) and is perpendicular to the line y = -5x + 1 and graph.

Sagot :

First, we are going to calculate the perpendicular slope. The condition for perpendicular lines is the following:

[tex]m1m2=-1[/tex]

First, m1 = -5

[tex]m2=\frac{-1}{m1}=\frac{-1}{-5}\rightarrow m2=\frac{1}{5}[/tex]

Now, for b

[tex]b=y-m2x[/tex]

For the point (2,-1)

[tex]b=-1-\frac{1}{5}\cdot(2)[/tex][tex]b=-\frac{5}{5}-\frac{2}{5}=\frac{-7}{5}[/tex][tex]y=\frac{1}{5}x-\frac{7}{5}[/tex]

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