Question

What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = –6

Answer 1

first we will turn the equation 3x - 2y = -6 into y = mx + b form...can you do that ?

Answer 2

yea

Answer 3

show me what you get when you do that

Answer 4

or do you need help with that ?

Answer 5

im confused

Answer 6

do (4,2) go with it?

Answer 7

3x - 2y = -6 -- subtract 3x from both sides
-2y = -3x - 6 -- divide both sides by -2
y = 3/2x + 3

do you understand this so far ?...we will get to (4,2) in a minute

Answer 8

what we are doing is turning the equation into y = mx + b form to find the slope, which is in the m position

Answer 9

ok i get it now

Answer 10

y = mx + b
y = 3/2x + 3

so our slope in this equation is 3/2
understand so far ?

Answer 11

if you have questions, ask them...if not I will continue...let me know

Answer 12

im listening

Answer 13

The reason we need to find the slope is because a parallel line will have the same slope.

So we know that the slope is 3/2, but we do not know the y intercept, which is in the b position of y = mx + b.

Now we take y = mx + b
slope(m) = 3/2
here is where your points come in...(4,2)...x = 4 and y = 2
now we sub...we are looking for b, the y intercept
2 = 3/2(4) + b
2 = 6 + b -- subtract 6 from both sides
2 - 6 = b
-4 = b

so your parallel equation is : y = 3/2x - 4
understand ?

Answer 14

now thats slope intercept form...or do you need it in standard form Ax + By + C ?

Answer 15

oops..typo..Ax + By = C

Answer 16

i have it thank you can you help me with another one?

Answer 17

I think I can...we will see...what ya got ?

Answer 18

The graph of which of the following will be parallel to the graph of 4x – 3y = –12?

Answer 19

4x-3y=-12

Answer 20

parallel line will have the same slope, but different y intercepts

remember, in y = mx + b form, the slope is in the m position and the y intercept is in the b position.

4x - 3y = -12
-3y = -4x - 12
y = 4/3x + 4 .....slope is 4/3 and y intercept is -12

4x - 3y = -12
-3y = -4x - 12
y = 4/3x + 4.....this is not parallel....the slopes and the y intercepts are the same, meaning it is the same line.

do you have more answer choices ?

Answer 21

B.


6x – 4y = –8




C.







D.


4x – 2y = –12

Answer 22

A. y=4/3x -3/2
c. y=3/4x+1

Answer 23

ok...in the original problem we found the slope to be 4/3 and the y intercept 4.
we need the same slope, but different y intercepts for the lines to be parallel.

Now look at this..
y = 4/3x - 3/2....same slope, but different y intercepts...thats what we want and this is your answer

Answer 24

Thank you

Answer 25

sure thing :)