graph the following solution: 2x + 3y = 6?

Question

graph the following solution: 2x + 3y = 6

Answer 1

you have to solve for y. So if you do that you get y= -2/3x + 6

graph according to y=mx + b

b is y intercept, so the graph crosses the point (0, 6)

m is the slope and slope is rise over run. So go down 2 and right 3 from (0,6) as many times as you need to fill up the graph.

Then go up 2 and left 3 from (0,6) as many times as you need to fill the graph.

Put arrows at each end of your line to show that it's a line.

Answer 2

To solve this, you graph the related equation which means you change the greater-than-or-equal-to sign to an equals. x+2y=3 and 2x-3y=6. The next step is to put it in y=mx+b form x+2y=3 -3 -3 x+2y-3=0 -2y -2y -2y=x-3 divide both sides by -2 y= -0.5x+1.5 this line will intersect the y-axis at the point 1.5, so start there.(b=y-intersept) the slope is -0.5 (m is the slope) which is one half. Slopes are written rise over run, so for every one section it movies down, it will move over 2 to the right. then, you have to find which side to shade in which will be x and y pick a point on the left and right side of the line that was drawn and if it works, in the original equation, then shade that side in. all of the points on that side will work. Do this with the other equation as well

Answer 3

write as 3y = 6-2x or y = 2-(2/3)x

and you draw two points
for x=0 y=2 (on the ordinate axis mark the point y=2
for x=3 y=0 (on the abcissa axis mark the point x=3

and draw a line between these two points

Answer 4

Most people will say to put it into slope/intercept form.

The easiest way is to find the easiest two points as any two will define the line.

y-intercept means x=0 --> 2(0) + 3y = 3y = 6 --> y=2
(0,2) is your first point.

x-intercept means y=0 --> 2x + 3(0) = 2x = 6 --> x=3
(3,0) is your other point.

Plot those two points and draw your line through them.

Answer 5

find the points (0, 2) and (3,0) and then linked them. this straight line is the graph of 2x+3y=6

Answer 6

Rearrange to y= something.
Rearrange to 3y=6-2x by -2x on both sides.
Then divide both sides by three to make y=2-2/3x.
The y-intecept is 2.
The gradient is -2/3.
Draw the line through the co-ordinates (-3,4) (0,2) (3,0) (6,-2)

Answer 7

I think you will get y=-2/3(x) +2

The y intercept will be 0,2
The x intercept will be 3,0

Answer 8

if u solve for x, u get....... y= -2/3x + 2

it crosses the x-axis at (0, 2)

Answer 9

Maybe I'm missing something, but you haven't provided me with graph paper...

Answer 10

It's the same answer as the other question you asked which I answered.