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Mathematics 8 Online
OpenStudy (anonymous):

can i somone help me???

OpenStudy (anonymous):

Choose the equation of the line passing through the point (2, -4) and parallel to y = 3x - 6.

OpenStudy (anonymous):

?????

OpenStudy (nubeer):

can you tell what will be the gradient or slope of the given line?

OpenStudy (anonymous):

yah the 2,-4?

OpenStudy (nubeer):

those are points.. not the fradient.. y=mx+c m=gradient.

OpenStudy (nubeer):

y = 3x - 6. i am asking for the gradient of this line?

OpenStudy (anonymous):

ummmm 3

OpenStudy (nubeer):

yes... 3 so when two lines are parallel they have the same gradient.. you have to remember this point..

OpenStudy (anonymous):

ok so do i go over 3 and down 6?

OpenStudy (nubeer):

now m=3 (2,-4) y -y1= m(x-x1) just plug in the values you will get the equation.

OpenStudy (nubeer):

no you dont have to go down or anything you just have to see what is the gradient of the given line.. (3 it is) now this given line is parallel to the line which we have to find.. they are parallel (m=3 for the equation of line we have to find)

OpenStudy (nubeer):

now m=3 (2,-4) y -y1= m(x-x1) just plug in the values you will get the equation.

OpenStudy (nubeer):

now m=3 (2,-4) y -y1= m(x-x1) just plug in the values you will get the equation.

OpenStudy (anonymous):

so its y-(-4)3(x-2)

OpenStudy (nubeer):

ya but u missed the = sign in the middle.

OpenStudy (anonymous):

ok so its y-(-4)=3(x-2)

OpenStudy (nubeer):

yes.

OpenStudy (nubeer):

now just simplify it ..

OpenStudy (anonymous):

how?

OpenStudy (nubeer):

y +4 = 3(x) - 3 (2) y+4= 3x-6 y = 3x- 10

OpenStudy (anonymous):

but how did u get 10?

OpenStudy (nubeer):

did you get how i got y+4 = 3x -6 ?

OpenStudy (anonymous):

yah and i put that answer down nd then i hav another equation just lik it but i didnt com out with a correct answer

OpenStudy (nubeer):

hmm ok.. i just subtracted 4 from both sides.. that's how i got 10

OpenStudy (anonymous):

ohh ok hold on

OpenStudy (anonymous):

th problem i hav is this :Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3. so i did th formula tht u did and i got y=3x-7

OpenStudy (nubeer):

y+5=3x-6 now subtract 5 from both sides.. i believe that would not be the same answer as yours.

OpenStudy (anonymous):

lol yah cuz i didnt do the 3 tims 2

OpenStudy (nubeer):

lol oops i think i did something wront.. it's -3

OpenStudy (nubeer):

y+5 = -3x -6

OpenStudy (anonymous):

but what if w had a fraction in the problem thn what would we do?

OpenStudy (nubeer):

if u have 2y= 8x+4 now u have to make y isolate.. so in this case just divide both sides by 2

OpenStudy (anonymous):

nooooo lik this :Choose the equation below that represents the line passing through the point (1, -4) with a slope of one half.

OpenStudy (nubeer):

y+4 = 1/2 (x-1) to eliminate denominator from 2 first you can multiply both sides with 2, it will become 2y+4 = 1(x-1) now rest is same.

OpenStudy (anonymous):

no cuz there is no slop in the middle like in the others

OpenStudy (nubeer):

hmm what? sorry i didn't get your point

OpenStudy (anonymous):

ok look this is what you said 2y+4 = 1(x-1) w have to solve but it dosent look like this y-(-4)=3(x-2) see how there is tht 3 in the middle of the problem

OpenStudy (nubeer):

\[y-(1) = \frac{ 1 }{ 2 } (x-(-4))\] \[2\times(y-1 )= 2\times \frac{ 1 }{ 2 } (x+4)\]

OpenStudy (anonymous):

ok sooooo

OpenStudy (nubeer):

\[2y- 2 = 1 (x+4)\]

OpenStudy (nubeer):

now does it look a lil same like before?

OpenStudy (anonymous):

yes

OpenStudy (nubeer):

so can you do now?

OpenStudy (anonymous):

idk hold on

OpenStudy (anonymous):

yah i got it

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