Y = mx + b slope(m) = 3/4 (3,7)...x = 3 and y = 7 now we sub...we r looking for b, the y int 7 = 3/4(3) + b 7 = 9/4 + b 7 - 9/4 = b 28/4 - 9/4 = b 19/4 = b
equation is : y = 3/4x + 19/4...lets put this in standard form
y = 3/4x + 19/4 -3/4x + y = 19/4...multiply by -4 3x - 4y = -19 <== standard form
if (x,5) is on the line 3x - 4y = -19.....sub in 5 for y 3x - 4(5) = -19 3x - 20 = -19 3x = -19 + 20 3x = 1 x = 1/3 <====so point a = (1/3,5)
