If line 3x + 4y = 24 cuts the x axis at point A, then point A is ur x intercept of line 3x + 4y = 24. To find the x int, sub in 0 for y and solve for x. 3x + 4y = 24 3x + 4(0) = 24 3x = 24 x = 24/3 x = 8....so point A is (8,0) <===
if line 3x + 4y = 24 cuts the y axis at point B, the point B is the y int. of 3x + 4y = 24. To find the y int, sub in 0 for x and solve for y 3x + 4y = 24 3(0) + 4y = 24 4y = 24 y = 24/4 y = 6......so point B is (0,6) <===
if point C is equidistant from point A and point B, then it is the midpoint. midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2 (8,0)....x1 = 8 and y1 = 0 (0,6)...x2 = 0 and y2 = 6 time to sub and solve m = (8 + 0)/2 , (0 + 6)/2 m = (8/2),(6/2) m = (4,3) <=== this is point C
