First we find the slope of the original equation 4x - 2y = 3 -2y = -4x + 3 y = -4/-2x - 3/2 y = 2x - 3/2......slope here is 2
for a parallel line, we use the same slope y = mx + b slope(m) = 2 (2,1)...x = 2 and y = 1 now we sub and find b, the y int 1 = 2(2) + b 1 = 4 + b 1 - 4 = b -3 = b so ur parallel equation is : y = 2x - 3
for a perpendicular slope, we need the negative reciprocal. All that means is flip the slope and change the sign. So we have a slope of 2...the negative reciprocal we need is -1/2 y = mx + b slope(m) = -1/2 (2,1)...x = 2 and y = 1 now we sub again 1 = -1/2(2) + b 1 = -1 + b 1 + 1 = b 2 = b ur perpendicular line is : y = -1/2x + 2 ========================= x + 4 = 0 x = -4....this is a vertical line with an undefined slope....sorry but I am not sure about this one