Question

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

Answer 1

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

$m1m2=-1$

First, m1 = -5

$m2=\frac{-1}{m1}=\frac{-1}{-5}\rightarrow m2=\frac{1}{5}$

Now, for b

$b=y-m2x$

For the point (2,-1)

$b=-1-\frac{1}{5}\cdot(2)$$b=-\frac{5}{5}-\frac{2}{5}=\frac{-7}{5}$$y=\frac{1}{5}x-\frac{7}{5}$