Question

Standard form? Is this right?
37. slope = ; (2, 8)
y-8=3/4(x-2)
y-8=3/4x-6/4
y=3/4x+26/4
4y=3x+26
-3x+4y=26

Answer 1

hey have you tried gegebra

Answer 2

sorry geogebra

Answer 3

It can do standard form?
I've used it for graphing but this isn't about graphing.

Answer 4

it can help with slope. Let me look at your problem and see if I can see if you are right. ahh gotcha you are wanting to see if you wrote it down right

Answer 5

Yeah I wasn't sure if I made it into standard form correctly given slope and one point.

Answer 6

it looks right but not positive

Answer 7

Ok well then I guess I'll keep waiting to see if someone can tell me if it is or not. It's just for a study guide but it is worth a small part of my grade and I'd really like to do good on it.

Answer 8

I don't see what they gave you for the slope. But if the slope is ¾ , it looks ok, but often standard form means: variables in alphabetical order and leading coefficient on the first variable is POSITIVE. To be safe, I would write
-3x+4y=26
as
3x - 4y = - 26

Answer 9

Oh right! It's been a long time since I've done these and yes slope was 3/4!

Answer 10

If I do a few more could you tell me if they're right?

Answer 11

yes

Answer 12

slope = -2/5 ; (3, -9)
y+9=-2/5(x-3)
y+9=-2/5x+6/5
This is where I get stuck. Do I multiply the whole thing by 5 or do I subtract 9 on both sides first?

Answer 13

You can take either step. But standard form does not use fractions, and at some point we will have to multiply by 5 to "clear the denominator"

In fact, I would make that the very first step for this problem.
\[ y+9 = -\frac{2}{5}(x-3) \\ 5y +45 = -2(x-3)\]

but if we pick up with
\[ y+9=-\frac{2}{5}x+\frac{6}{5} \]
I would multiply by 5 to get
\[ 5y +45= -2x + 6\]

Answer 14

So my answer would be
2x+5y=-39

Answer 15

yes

Answer 16

Awesome thank you I think I got it now!

Answer 17

notice for
do I subtract 9 on both sides first?
\[ y+9=-\frac{2}{5}x+\frac{6}{5} \\ y = -\frac{2}{5}x+\frac{6}{5} -9 \]
again we could multiply by 5. or we can add 2/5 x to both sides to get
\[ \frac{2}{5}x + y = \frac{6}{5}-9 \]

we could simplify 6/5 - 9 to -39/5. or we could multiply by 5 (on both sides)
\[ 2x + 5y = 6-45 \\ 2x + 5y = -39 \]