Question 122982
if you get the equations into slope-intercept form (y by itself on one side of the equation)
__ the coefficient of the x term equals the slope of the line, and the constant term is the y-intercept
__ (the value of y where the line crosses the y-axis)


the general form is y=mx+b __ m is the slope, b is the y-intercept


if the slopes of the lines are the same, the lines are parallel


if the slopes are negative reciprocals (product of the slopes is -1), the lines are perpendicular


1. y=2/3 has no x term, so it is a horizontal line (m=0, b=2/3)
__ 3x+2=6 has no y term, so it is a vertical line (m is undefined and b does not exist)
__ a horizontal line and a vertical line are perpendicular to each other


2.  y=1/2x+b (for any value of b)
__ you know they are parallel because they have the same slope (m=1/2)


3.  3x-y=11 __ 3x-11=y, so the slope is 3 __ any line with a slope of -1/3 is perpendicular __ y=-1/3x+b


4.  parallel means same slope __ 3y=-x+6 __ y=-1/3x+2 __ use (5,3) to find new value for b
__ 3=(-1/3)5+b __ 3=-5/3+b __ 14/3=b __ y=-1/3x+14/3 or 3y=-x+14