Asked by Help me!

Graph the equation -1/2x - 2/3y = 3/4
I'm not sure how to do this, can someone walk me through the steps in order to solve this.

Answers

Answered by Veritas Homework Help
Hello!

First of all, I want to say that I can't give you a full answer as you may be asking questions off of a test for your online or public school. However, I'll walk you through the steps to solving:

Step 1: Add 2/3y to both sides
-1/2x + -2/3y + 2/3y = 3/4 + 2/3y
-1/2x = 2/3y + 3/4

Step 2: Divide both sides by -1/2
-1/2x / -1/2 = 2/3y + 3/4 / -1/2

X = -8y - 9 / 6

Step 3: Simplify.
-8y + -3/2

Step 4: Graph...

(The Graph should have an X intercept of -2.6667, and a Y intercept of -1.)


Answered by scott
it's a straight line

solving for y puts the equation in slope-intercept form ... y = m x + b
... makes it easier to graph
Answered by Help me!
Thank you! I am completing a study guide, but I understand. Thanks again!
Answered by Veritas Homework Help
Scott,
I disagree with your answer. The graph should be a negative slope.
Answered by scott
to Veritas etc.

"I want to say that I can't give you a full answer as you may be asking questions off of a test for your online or public school"

you did everything but sharpen the pencil to draw the graph
... this is not a full answer??
Answered by Veritas Homework Help
I did to the extent of what Jishka will allow me on its forums. I can not GIVE the answer, only the steps leading up to it.
Answered by Veritas Homework Help
If my post violates its terms of use then the post will be deleted by a community moderator. I gave something that will help them confirm their answer.
Answered by bobpursley
https://www.wolframalpha.com/input/?i=plot+x%2By+%3D+3,+x+%3D+4%E2%88%92(y%E2%88%921)%5E2
Answered by Reiny
Oh my .....
-1/2x - 2/3y = 3/4

multiply each term by -12
6x + 8y = -9
8y = -6x - 9
y = -(2/3)x - 9/8
so the slope is -2/3 and the y-intercept is -9/8 , sketch this

or

from 6x + 8y = -9
let x = 0, y = -9/8 , appr -1
let y = 0 , y = -9/6, or -1.5 , sketch this.
Answered by scott
Veritas,

Reiny's numerical solution is correct

the total solution that you offered contains an error in Step 2
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