Question

2. Find the equation of theline:through: (-4,-2), parallel to y=-1/4x-4

Answer 1

two parallel lines have the same slope, the slop is the number accompains the x, so is -1/4

the general form of the line is

`y=mx+b`

I can replace the slope and the point (-4,-2) to find b

`\begin{gathered} (-2)=(-(1)/(4))(-4)+b \\ -2=1+b \\ b=-2-1 \\ b=-3 \end{gathered}`

so, the new parallel line is

`y=-(1)/(4)x-3`