Question

which of the following equations is parallel to the line passing through a(-2 7) b(-2 -2)

Answer 1

parallel lines have equal slope so you should first find the slope of the given points
\[slope = m = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] when given the points (x1, y1) and (x2, y2)
so your slope would be the equivalent of
\[\frac{ -2 - 7 }{ -2 - (-2) }\]
but you would find that you get a 0 in the denominator
and you can't divide by 0
and slopes with a denominator of 0 means that it is a vertical line
therefore a line parallel to a vertical line is another vertical line.