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=(-1)/(m1)=(-1)/(-5)\rightarrow m2=(1)/(5)`

Now, for b

`b=y-m2x`

For the point (2,-1)

`b=-1-(1)/(5)\cdot(2)`
`b=-(5)/(5)-(2)/(5)=(-7)/(5)`
`y=(1)/(5)x-(7)/(5)`