Answer:
(2, 0)
Explanation:
First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)
Equation of a line is y = mx+c
m is the slope
m = y2-y1/x2-x1
m = -7-1/-5-3
m = -8/-8
m = 1
Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;
1 = 1(3) + c
1 = 3 + c
c = 1-3
c = -2
The required equation is y = x - 2
We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;
0.5x - 1 = x - 2
0.5x - x = -2+1
-0.5x = -1
x = -1/-0.5
x = 2
Substitute x = 2 into y = x - 2
y = 2-2
y = 0
Hence the the coordinate point is (2, 0)