Question

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

Answer 1

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:

`m=-(1)/((-3))\Rightarrow m=(1)/(3)`

Now, we find the line as follows:

`y-(-(1)/(3))=(1)/(3)(x-(-7))\Rightarrow y+(1)/(3)=(1)/(3)x+(7)/(3)`
`\Rightarrow y=(x)/(3)+2`

So, the equation that we are looking for is:

`y=(x)/(3)+2`