X - 2y = 10 -2y = -x + 10 y = 1/2x - 5...slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular slope is -2 (see how I flipped 1/2 over...making it 2/1...and changed the sign..making it -2)
y = mx + b slope(m) = -2 (2,6)...x = 2 and y = 6 now we sub and find b, the y int 6 = 2(-2) + b 6 = -4 + b 6 + 4 = b 10 = b
so ur perpendicular equation is : y = -2x + 10 <==