Question 1110231
Both the blue and the red lines have the same point; namely (4, -3), so that is the answer unless they are the same line, which they can't be.

Algebraically, one can find the equation of each.

The second part first pair has slope -3-(-4) divided by 4-0 or 1/4
the equation uses point slope formula y-y1=m(x-x1), (x1, y1) point and m slope.
y+4=(1/4)x
y=(1/4)x-4
Similarly slope red coordinates is -3-(-1) divided by 4 or -2/4 or -1/2
y+1=(-1/2)x
y=(-1/2)x-1
Solution is where the two are equal
(1/4)x-4=(-1/2)x-1
(3/4)x=3
x=4
and y=-3
(4, -3)
{{{graph(300,300,-10,10,-10,10,(1/4)x-4,(-1/2)x-1)}}}