Question 123836
If the line passing through (4, 20) and (6, y) is parallel to a line with slope -7, then the line itself must have a slope of -7 because parallel lines have equal slopes.


If you have two points, you can calculate the slope by {{{m=(y[1]-y[2])/(x[1]-x[2])}}}, so:


{{{(20-y)/(4-6)=-7}}}
{{{(20-y)/-2=-7}}}
{{{20-y=14}}}
{{{y=6}}}