Do I place the following two equations on the same line as they both represent the same lines. Pleas show. Thanks much.
3x-2y=8
6x+4y=16
I am sorry I am not too big on graphing.
no they are not the same line. because if you had reduced 6x+4y=16---> you would get 3x+2y=8
there is one thing that is different which is the sign. One of them is +2y and the other is -2y therefore they would not be the same.
ummm how do you want to show the graph..umm i would reduce them into y=..which will help because it would be in slope-intercept form..where you can find the intercept
-3x + 2y =8
3x + 2x=8
To determine if the two equations represent the same line, we can convert them to the slope-intercept form (y=mx+b), where m represents the slope and b represents the y-intercept.
For the first equation, 3x-2y=8, we can solve for y:
3x - 2y = 8
-2y = -3x + 8
y = (3/2)x - 4
For the second equation, 6x+4y=16, we need to rearrange it to be in the form y=mx+b:
6x + 4y = 16
4y = -6x + 16
y = (-3/2)x + 4
Now we have both equations in the slope-intercept form.
By comparing the two equations, we can see that the slopes are different. The first equation has a slope of 3/2, while the second equation has a slope of -3/2. Therefore, the two equations do not represent the same line.