SOLUTION: Hi, my son just started a new school on Tues. Has an Algebra worksheet that he doesn't understand. I am normally able to help him, but I do not know how to do this type of proble

Question 122982: Hi, my son just started a new school on Tues. Has an Algebra worksheet that he doesn't understand. I am normally able to help him, but I do not know how to do this type of problem.
1. Determine if the graphs of the equations y=2/3 and 3x+2=6 are parallel, perpendicular or neither.
2. Write an equation for the line that is paralled to y=1/2x-1. Tell how you know they are parallel.
3. Find the slope of the lines perpendicular to the graph of 3x-y=11.
4. Write an equation of the line that passes through (5,3) and is parallel to x+3y=6.
Any help or explanations would be greatly appreciated.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
Hi, I am doing a worksheet on pythagorean theorem and i do not quite understand this word (answered by ankor@dixie-net.com)

i am helping my son with a worksheet from school and the answer sheet for his worksheet... (answered by jim_thompson5910)

Hi I am trying to help my son with his geometry homework. I never took geometry. He is... (answered by xinxin)

Hi, I homeschool my son so please don't assume I'm a student asking for help. I... (answered by mananth)

I AM A PARENT TRYING TO HELP MY 13 YR. OLD WITH HIS ALGEBRA. I HAVE BEEN OUT OF SCHOOL... (answered by checkley71)

My son has a math worksheet that he needs to score at least 90% on. It has 12 problems on (answered by scott8148,jim_thompson5910,oberobic)

My son is in 10th grade, taking Algebra II. They just started this new section last week (answered by stanbon)

Can you solve the following problem: "Sponge Bob needs to make $1000 interest by... (answered by josmiceli)

I am trying to help my ten year old son and am so lost. I am able to figure out for... (answered by edjones,feliz1965)