Question 253980
the slope is the amount that the line rises (or falls) over some horizontal distance


[change in y] / [change in x]


m = (3 - 4) / (1 - 3) = -1 / -2 = 1/2


y = m x + b ___ 4 = 1/2 (3) + b ___ 5/2 = b


y = 1/2 x + 5/2


a perpendicular line will have a slope that is the negative reciprocal of the given slope


perpendicular ___ y = -2 x + 5/2


a parallel line will have the same slope but a different y-intercept (b value)


parallel ___ y = 1/2 x + 3