Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work. Submit your graph to the Dropbox 2x-3y=9
if x = 0, y = -3 so (0 , -3)
if y = 0, x = 9/2 so (4.5 , 0)
post it.
To find the x-intercept, we set y = 0 and solve for x. Similarly, to find the y-intercept, we set x = 0 and solve for y.
For the equation 2x - 3y = 9, let's find the x-intercept:
Setting y to 0:
2x - 3(0) = 9
2x = 9
x = 9/2 = 4.5
So the x-intercept is x = 4.5
Now let's find the y-intercept:
Setting x to 0:
2(0) - 3y = 9
-3y = 9
y = 9/(-3) = -3
So the y-intercept is y = -3.
Now that we have the x- and y-intercepts, we can graph the equation:
Plot the x-intercept: (4.5, 0)
Plot the y-intercept: (0, -3)
Now we can connect these two points with a straight line. The graph should look like this:
|
3 |
|
|
|
| ● (4.5, 0)
|
-3 | ●
|
-----------------
-3 0 4.5
You can submit this graph to the Dropbox.