Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later. Now for slope: green is -4/2 = -2 pink is 4/2 = 2 Now we can create the equations Let's make green = g(x) and pink = p(x) if we use y = mx + b, then the green has a y-intercept (b) of +1 So g(x) = -2x + 1 pink has a y-intercept of -3, so p(x) = 2x - 3 Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1 g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1 p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
