Question

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

Answer 1

when two lines are parallel they have the same slope

so the slope of the new line is m=1

now, we can replace m and the point (-4,-2) to find the equation

the general form of the line is

$y=mx+b$

then

$\begin{gathered} (-2)=(1)(-4)+b \\ -2=-4+b \\ b=2 \end{gathered}$

replace b=2 and m=1 in the general equation of the line to find the equation

$y=x+2$