Question

Write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4).

Answer 1

Don't know how to do this one!

Answer 2

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6).

Need help with this one too

Answer 3

equation of line parallel to given line has the same slope

Answer 4

I would just start by changing the format to y=mx+b

Answer 5

I don't understand.

Answer 6

\[\Large \bf y_{}-y_{1}=m(x_{}-x_{1}) ~~\\~~m: Slope\]
\[\Large \bf (x_{1},y_{1})=(-3,4)\]

Answer 7

would it be y = 4x - 4

Answer 8

I'm so confused.

Answer 9

the first question
what is the slope ?

Answer 10

rvc's format works too
but y= 4x-4 is wrong

First you subtract 4x from both sides and then divide everything by -3 for (y=mx+b)

Answer 11

The logic behind these types of problems is that whatever you do on one side of the equal sign you do on the other

Answer 12

yeah

Answer 13

oh whoops I forgot to divide everything.

y= 4/3x + 8?

Answer 14

8 or 3?

Answer 15

4x - 3y = -12
subtract 4x from both sides
-3y = -4x - 12
divide everything by -3 on both sides
y = (4/3)x + (-12/-3)
so...
y= (4/3)x + 4

That is the original formula.

To get the parallel line you rewrite it as
y=(4/3)x + b
Plug in the provided coordinate (-3,4)

Answer 16

\[4x-3y=12-->3y=4x-12-->y=\frac{4}{3}x-\frac{12}{3}\]

Answer 17

Okay I got it for both, thank you both! I wish I could give two medals.

Answer 18

os is lagging :(

Answer 19

It really always lags a lot.

Answer 20

All the best!

Answer 21

One way to do these problems is to recognize that the slope is determined by the coefficients of \(x\) and \(y\), and a parallel line has the same slope. Therefore, all you need to do is plug in your point in the original left hand side and find the new constant term:

\[4x-3y=-12\]passing through point \((-3,4)\):

\[4(-3)-3(4) = -12-12 = -24\]so the new equation is simply
\[4x-3y=-24\]

and if you solve that for \(y\) to put it in \(y = mx+b\) form (slope-intercept), you get

\[-3y=-24-4x\]\[y = \frac{4}{3}x+8\]