We can find this by setting the two equations equal to eachother, as the point at which they intersect is the point where they share the same x and y value. First, we have to get both equations in the form y = mx + c, so: -x - y = -5 + y -x = -5 + y + 5 y = -x + 5
Now we can set -x + 5 equal to x + 1 and solve to find the x coordinate:
-x + 5 = x + 1 + x 5 = 2x + 1 - 1 4 = 2x ÷ 2 2 = x
With the x coordinate, we can substitute it in to one of the equations and find our y coordinate: