Answer :
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
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
Answer:
The graph of given equation is shown below.
Step-by-step explanation:
We need to draw the graph of linear equation.
Let as consider a linear equation.
[tex]-18x+9y=72[/tex]
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.
[tex]-18(0)+9y=72[/tex]
[tex]9y=72[/tex]
Divide both sides by 9.
[tex]y=8[/tex]
⇒ y-intercept of the line is 8.
Substitute y=0 in the given equation to find the x-intercept.
[tex]-18x+9(0)=72[/tex]
[tex]-18=72[/tex]
Divide both sides by -18.
[tex]y=-4[/tex]
⇒ 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.
