How do you graph x plus 3y equals -6?

Answer 1

How to graph -x+3y=6:

So it starts out as -x+3y=6. Add x on both sides of the equal sign to move x over to the other side, so that it becomes 3y=x+6. Then divide both sides by 3, so that 3y=x+6 becomes y=1/3x+2. This is called the slope intercept form, where y=mx+b, and m is the slope while b is the y-intercept. Changing an equation into the slope intercept form without changing the value will make it easier to graph. Since the slope, 1/3, is positive, this means the slope of the line has to be positive, which means it will go in this direction: /.

To graph this equation, you need to create a list of numbers for x, so you can determine what y is. For example, if you say x is 3, then insert it into the equation like this: y=1/3(3)+2. 1/3 times 3 is 1, plus 2 is 3. So then if x is 3, then y is 3, making a point with the coordinates (3,3). Draw this point on a graph by going 3 right (since 3 is positive) of 0 on the x axis and 3 up (since 3 is positive) from 0 on the y axis. Now you have drawn a point that is on the line y=1/3x+6.

To draw a second point and create a line using both points, use another number as x, such as -3. y=1/3(-3)+6 would come out as y=-1+6, then y=5. So if x is -3, then y is 5, making a point with the coordinates (-3,5). Draw this point on the graph by going 3 left (since -3 is negative) of 0 on the x axis and 5 up (since 5 is positive) from 0 on the y axis.

Now you have two points with the coordinates (3,3) and (-3,5) for the linear equation y=1/3x+2 AKA -x+3y=6. Draw a line connecting the two and there you have your graph! After lots of practice, it gets pretty simple, so you'll learn it in no time. If you still need help, ask someone who has experience with linear equations and algebra.