3x - 2y + 4 = 0 -2y = -3x - 4 y = 3/2x + 2...slope here is 3/2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of a number, flip the number and change the sign. So the slope we will need is -2/3 (see how I flipped 3/2, making it -2/3...and changed the sign, making it -2/3.)
y = mx + b slope(m) = -2/3 (4,3)...x = 4 and y = 3 now sub and find b, the y int 3 = -2/3(4) + b 3 = -8/3 + b 3 + 8/3 = b 9/3 + 8/3 = b 17/3 = b
so ur perpendicular equation is : y = -2/3x + 17/3....or 2x + 3y = 17...or 2x + 3y - 17 = 0
