Graph using the intercept method: 2x + y = 4.
2006-09-01 13:34:24 · 9 answers · asked by suly m 1 in Education & Reference ➔ Homework Help
2x+3y = 12
3y = -2x +12
y = (-2/3)x + 4
2x+y = 4
Let x = 0, so y = 4, and the ordered pair is (0,4) which is on the y-axis
Let y = 0 so x = 2, and that ordered pair is (2,0), which is on the x-axis
2006-09-01 13:40:16 · answer #1 · answered by MollyMAM 6 · 1⤊ 1⤋
For 2x+3y=12 you need to make y stand alone on one side of the "equals sign".
So:
3y=-2x+12 (subtract the 2x and move it over to the other side)
y=-2/3x+4 (divide each side by 3)
To graph look at the number that stands alone (in this case 4). From point (0,0) move up 4 units and make a point. This will be the y-intercept. From that point move down 2 units and to the right 3 units (this is the slope the -2/3x). Make a point there. You can continue to move down 2 and right 3 and make more points to make the line more easily. You can also move left 3 and up 2.
2006-09-01 13:47:39 · answer #2 · answered by tooqerq 6 · 1⤊ 0⤋
Could never graph this stuff to well. Could calculate but not graph.
Equations needed:
2x+3y=12
2x+y=4
y=4-2x <---- this is just placed in side the first equation. The equation below this one is just the result of that.
2x+3(4-2x)
2x+3(4-2x)=12
2x+12-6x=12
-4x=0
x=4 <--- x-intercept is 4
y=4-2x
=4-2(4)
=4-8
= -4 <--- y-intercept is negative 4.
Then just make a line that goes through x-intercept of 4 and y-intercept of negative four.
2006-09-01 13:56:38 · answer #3 · answered by jubbablumberin 3 · 0⤊ 0⤋
2x 3y 12
2016-10-05 06:15:47 · answer #4 · answered by luff 4 · 0⤊ 0⤋
Simply put, first solve for y by making x=0. 2*0=0, so 3y=12, y=4....Your first coordinate is (0,4) to plot...
Then solve for x doing the same...y=0 3*0=0, so 2x=12, x=6.....Your second coordinate to plot is (6,0) then have x or y represent 1 other value and solve it that way to get a third point and connet the points with one line touching them all...
2006-09-01 13:40:07 · answer #5 · answered by panther907 2 · 0⤊ 0⤋
3y=-2x+12
2014-01-14 07:10:23 · answer #6 · answered by Anonymous · 0⤊ 0⤋
graph solving 2x 3y 12: https://bitly.im/c5/graph-by-first-solving-for-y-2x-3y-12
2015-05-01 21:20:35 · answer #7 · answered by Anonymous · 0⤊ 0⤋
You know this is going to be a straight line, so set x and y equal to zero and find the point represented where you cross the x and y axes, then draw a line between them.
2006-09-01 13:41:51 · answer #8 · answered by Zelda Hunter 7 · 0⤊ 1⤋
y=mx+b
where m is the slope, b is the y intercept., m= - 2/3. b=4
where (0,4) is another point. (6,0) is the x intercept.
It is a linear function.
2006-09-01 13:48:53 · answer #9 · answered by chanljkk 7 · 0⤊ 0⤋