Question

Find the equation for each of the following lines. complete both parts a and b below:a. the line containing P(-9, -5) and parallel to the x axis.

Answer 1

a. the line containing P(-9, -5) and parallel to the x axis. ​

If two lines are parallel, then:

$m1=m2$

The slope for the x-axis is:

$m1=0$

so:

$m1=m2=0$

Using the point-slope equation:

$\begin{gathered} y-y1=m2(x-x1) \\ where \\ (x1,y1)=(-9,-5) \\ y-(-5)=0(x-(-9)) \\ y+5=0(x+9) \\ y+5=0 \\ y=-5 \end{gathered}$