find an equation for the line
through (-7,-4)and vertical.
Let's plot that point and draw that vertical line through it:
Let's look at some more points on that vertical line
What do you notice about all those points? You notice that they
all have the same x-coordinate, which is -7. So the equation is
"the line every point of which has x-coordinate = -7"
or writing that sentence much shorter, we have
x = -7
that is the equation of that vertical line. You just write
what x (the x-coordinate) is always equal to on that line.
Edwin