Question

Write an equation of the line with the given properties. Your answer should be written in standard form.m = 4 passing through P(0, 4)

Answer 1

The equation of the line in standard form is given by:

`ax+by=c`

Then, given the slope and the intercept we use the equation in the form:

`y=mx+b`

Where:

m = 4

b = 4

So, the equation is:

`y=4\pi x+4\pi`

Then, writing the equation found in standard form we have:

`\begin{gathered} y-4\pi x=4\pi x+4\pi-4\pi x \\ -4\pi x+y=4\pi \end{gathered}`

Answer:

`-4\pi x+y=4\pi`