Answer:
(-2,8)
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
Line 1: m = (0 - 6)/(2 - -1) = -6/3 = -2
y = mx+ b => y = -2x + b => 0 = -2(2) + b => 0 = -4 + b => b = 4
y = -2x + 4
Line 2: m = (9 - 5)/(-1 - -5) = 4/4 = 1
y = mx + b => y = x + b => 9 = -1 + b => b = 10
y = x + 10
When the 2 line intersects, they will same the same (x,y)
so line 1 = line 2
-2x + 4 = x + 10
-2x - x = 10 - 4
-3x = 6
x = -2
y = -2x + 4 = -2(-2) + 4 = 8
so the lines intersect at (-2,8)
