Question

What is a equation of the line that passes through (-1,3)

Answer 1

From:

`\begin{gathered} y=2x+2 \\ m1=2 \end{gathered}`

Since they are parallel, then:

`\begin{gathered} m1=m2 \\ m2=2 \end{gathered}`

Let:

`(x1,y1)=(-1,3)`

Using the point-slope equation:

`\begin{gathered} y-y1=m2(x-x1) \\ y-3=2(x-(-1)) \\ y-3=2(x+2) \\ y-3=2x+2 \\ y=2x+5 \end{gathered}`