|
Question 40631: Graph 2x-y=4
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! Graph 2x-y=4
The easiest method is to think about where this line will cross the x-axis and the y-axis. Once you have found these two "crossing" points of the line, you can connect the points and extend the line.
First, whenever a line crosses the y-axis (called the y-intercept) the value of x will always equal zero, and the value of y will equal some real number.
To find the y-intercept, substitute zero for x and solve for y:
2x-y=4
2(0) - y =4
-y = 4
y = -4
So the y-intercept is at the point (0,-4). Plot this point on your graph.
Now, to find out where the line crosses the x-axis or the x-intercept, remember that the value of x will be some real number and the value of y will always be zero.
So, substitute zero for y into the original problem and solve for x:
2x-y = 4
2x - (0) = 4
2x = 4
2x/2 = 4/2
x = 2
So the line intercepts or crosses the x-axis at the point (2,0). Plot this point on your graph.
You should have two points plotted: (2,0) and (0,-4). No connect the points and extend each end of the line to give you the graph of the line.
|
|
|
| |
