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Mathematics 14 Online
OpenStudy (anonymous):

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

OpenStudy (anonymous):

help help help help

OpenStudy (asnaseer):

firstly - what do you think is the slope of the line y = 3x + 6?

OpenStudy (anonymous):

3

OpenStudy (asnaseer):

correct

OpenStudy (chriss):

y=mx+b m is 3 because the line you are looking for is parallel you have your x and y coordinates, so plug them in and solve for b.

OpenStudy (asnaseer):

so the line paralle to this must have the same slope (i.e. 3) which means its equation must be: y = 3x + c where c is some constant

OpenStudy (asnaseer):

now you just need to put in the point given to you to find c

OpenStudy (anonymous):

? so how do i solve

OpenStudy (asnaseer):

you are given that x=-10 when y=2.5 on this line

OpenStudy (chriss):

you've been given your x and y in the form of (-10,2.5)

OpenStudy (asnaseer):

so just substitute x=-10, y=2.5 into y = 3x + c to find c

OpenStudy (anonymous):

so do i plug those in to y=3x+b

OpenStudy (anonymous):

why is it c not b?

OpenStudy (chriss):

correct

OpenStudy (asnaseer):

you can use any symbol for the constant, Chris used b I used c - it doesn't matter

OpenStudy (chriss):

it's just a different variable. they both represent the y-intercept

OpenStudy (anonymous):

uhm i got 32.5 = b is that correct

OpenStudy (asnaseer):

yup

OpenStudy (chriss):

that's what I got

OpenStudy (anonymous):

okaay

OpenStudy (anonymous):

Write an equation of a line in slope intercept form that is perpendicular to y = -4x -2 and passes through the point (-16, -11). how would i do this

OpenStudy (anonymous):

or what else do i do for the previous problem

OpenStudy (asnaseer):

you have solved the previous problem - please post new questions to the left.

OpenStudy (chriss):

for the previous problem, you need to get your new equation in the general form of y=mx+b. You need to supply the values for m and b, and leave x and y as variables.

OpenStudy (anonymous):

help me with the second one

OpenStudy (chriss):

you have to submit that one as a separate problem after you close this one out.

OpenStudy (anonymous):

i did

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