Question

Write the equation of the line parallel to y=-3x+4 that passes through the point (1, 1).

Answer 1

If the line is parallel to:

`y=-3x+4`

the we know that the slope is:

`m=-3`

Now we can replace the coordinate (1,1) in the line equation to find b so:

`\begin{gathered} y=-3x+b \\ 1=-3(1)+b \\ b=1+3 \\ b=4 \end{gathered}`

So the final equation is:

`y=-3x+4`