Algebra 1 help-parallel & perpendicular lines

Write an equation in standard form that satisfies the given conditions.

#1)parallel to the x-axis, through (4, -1)

#2) parallel to the y-axis, through (4, 44)

Question

Algebra 1 help-parallel & perpendicular lines


Write an equation in standard form that satisfies the given conditions.

#1)parallel to the x-axis, through (4, -1)

#2) parallel to the y-axis, through (4, 44)

anonymous · Answer

I am pretty sure it has something to do with the slope being undefined or being 0...maybe :)

johnweldon1993 · Answer

well if something is parallel to the x-axis......in the y-direction....is the line increasing? decreasing? or neither

anonymous · Answer

neither?

johnweldon1993 · Answer

exactly.....the line isn't increasing...nor decreasing.....so it's slope is 0.......if a lines slope is 0...it can only go through 1 y point....

if you need to satisfy (4, -1)
knowing that y = -1...there's NO slope....and you can ONLY go through 1 y point.....what would be your equation?

johnweldon1993 · Answer

hint **** y = 0 is the x-axis
y=1 is a horizontal line through 1 on the y axis...

so to get through the -1 on the y axis...your equation would be?

anonymous · Answer

i'm guessing here, but i'm gonna try this: 0x-1y=4

anonymous · Answer

i'm not sure if it's right though

johnweldon1993 · Answer

that would be acceptable.....but it's not all needed

if you have 0x.....you dont even need that...becauase 0 times anything is 0 right? so that's not needed

-1y = 4

when you simplify that...you get y = -4

this would create a horizontal line passing through the y-axis at -4

you want it to make a horizontal line at -1....so the equation would be y = -1

see why that is true?

anonymous · Answer

Yes, so the answer in the end would be y=-4 because you would simplify -1y=4 (just summarizing here)

johnweldon1993 · Answer

no...when you simplify that....it is y = -4

remember you want (4, -1)

the -1 is your y point...

when you have y = -4....that goes through the y axis at -4.....not -1.....and remember since it is not able to get to ANY more y places.....it couldn't possibly work with this coordinate....

you would want y = -1

anonymous · Answer

so it's not y=-4, but instead, y=-1??

johnweldon1993 · Answer

correct

anonymous · Answer

yay! haha, thank you!!! i'm going to try to figure out the next one now! :D

johnweldon1993 · Answer

|dw:1363752927744:dw|

as you can see...those lines ONLY go through 1 y axis point

anonymous · Answer

yup!

johnweldon1993 · Answer

and let me know if you need help with the next one

anonymous · Answer

would the next one be x=4??

johnweldon1993 · Answer

it would indeed :)

anonymous · Answer

yes!! i'm so happy!! haha, thank you so much!! i really appreciate it!!!

johnweldon1993 · Answer

not a problem :)