Question

Choose the slope-intercept equation of the line that passes through the point

Answer 1

If the lines are parallel then they must have the same slope. So,
\[y=-\frac{1}{2}x+5\]
is the line of the problem, and the parallel should be,
\[y=-\frac{1}{2}x+n\]
Now, we force the line to pass trough the point (4,-6),
\[-6=-\frac{1}{2}4+n\Rightarrow n=-4\]
So the answer is,
\[y=-\frac{1}{2}x-4\]

Answer 2

thanks so much and for also explaining