The graph equation is in the form y = mx + c we need to find m - gradient and c - intercept of the graph since we have been given 2 points we know the x and y coordinates of these 2 points point A , x = 0 and y = -4 point B , x = 6 and y = 2 substituting these x and y values in y = mx + c form -4 = m*0 + c -4 = c then intercept is -4 substituting x and y in point B 2 = m * 6 + c since c = -4 2 = 6m - 4 6m = 6 m = 1
since we know m=1 and c = -4 the equation for line AB is y = 1*x - 4 y = x - 4
