(2,-2)(4,10) slope = (10 - (-2) / (4 - 2) = (10 + 2) / 2 = 12/2 = 6 The slope of the original equation is 6, but we are looking for a perpendicular line, so we need the negative reciprocal slope. All that means is " flip " the slope and change the sign. 6 or 6/1.....flip it...1/6...change the sign....-1/6. So we will need the slope of -1/6.
y = mx + b slope(m) = -1/6 (2,1)...x = 2 and y = 1 now we sub and find b, the y intercept 1 = -1/6(2) + b 1 = -1/3 + b 1 + 1/3 = b 3/3 + 1/3 = b 4/3 = b
