221k views
2 votes
How do you graph a linear equation?

For example, -18x+9y=72

User Rickster
by
8.4k points

2 Answers

0 votes
Basically with the example you have you need to have the x and y variables on different sides.
Equation:
-18x+9y=72 (now you want to add 18x on both sides)
+18x +18x
9y=72+18x (next you divide 9 to both sides to get x and y alone)
9
y=8+2x (now that you have the x and y alone this is the final equation)

On the graph you want to put a dot on 8 since it's the y-intercept or the starting point of the equation. After that you want to add 2 every time you go by 1 on the x-axis. I have a picture of a graph...

I hope this help you out :D




How do you graph a linear equation? For example, -18x+9y=72-example-1
User Tony Vu
by
7.3k points
6 votes

Answer:

The graph of given equation is shown below.

Explanation:

We need to draw the graph of linear equation.

Let as consider a linear equation.


-18x+9y=72

First we need to find any two points on the line. So, will find x and y-intercept of the line.

Substitute x=0 in the given equation to find the y-intercept.


-18(0)+9y=72


9y=72

Divide both sides by 9.


y=8

⇒ y-intercept of the line is 8.

Substitute y=0 in the given equation to find the x-intercept.


-18x+9(0)=72


-18=72

Divide both sides by -18.


y=-4

⇒ x-intercept of the line is -4.

Now, plot these two points (0,8) and (-4,0) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given equation is shown below.

How do you graph a linear equation? For example, -18x+9y=72-example-1
User Latece
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories