Question

graph 9x+3y=6

Answer 1

First, simplify the equation by dividing the entire equation by 3.

Answer 2

@mathstudent55 so would it be (3,1) i would be graphing?

Answer 3

@mathstudent55 do you also divide the 6?

Answer 4

Notice that the three coefficients (the numbers) are multiples of 3, so the entire equation can be divided by 3 to make it look simpler:

\(9x+3y=6\)

\(\dfrac{9x}{3} + \dfrac{3y}{3} = \dfrac{6}{3} \)

\(3x + y = 2\)

Answer 5

Now you can solve it for y by subtracting 3x from both sides.

\(y = -3x + 2\)

Answer 6

9x+3y=6

I'd divide by 6

\(\dfrac{x}{2/3} + \dfrac{y}{2} = 1\)

Your intercepts are staring at you! (2/3,0) and (0,2)

Answer 7

Since you want to graph it, just let x equal two different numbers and solve each time for y.
That will give you two points.
Plot the points and draw a straighht line though them.

Answer 8

@mathstudent55 my question in my sheet says graph the equation

Answer 9

@mathstudent55 wouldnt i be able to just plot (9,3)? or (3,1)

Answer 10

One way of graphing an equation is by finding two points on the line.

Answer 11

Do you know for a fact that (9, 3) and (3, 1) are actually points on the line?

Answer 12

@mathstudent55 i mean i wanted to plot only one of them

Answer 13

y = -3x + 2

Let x = 0, what do you get for y?
Let x = 1, what do you get for y?

Answer 14

One point is not enough to plot a line.
There is an infinite number of lines that pass through one point.

Answer 15

@mathstudent55 so if x equals 0 it will be (0,1)?

Answer 16

@mathstudent55 i suck at math as you can see :/ i just tend to get confuse

Answer 17

@mathstudent55 okay so what would my graph look like?

Answer 18

@mathstudent55 its looking only for 2 points

Answer 19

@mathstudent55 please help!

Answer 20

\[\frac{ 9x }{ 3}+ \frac{ 3y }{ 3 }=6\]

Answer 21

so wouldnt i be able to plot 3,1?

Answer 22

@mathstudent55

Answer 23

You didn't look at that intercept form, did you?

Answer 24

@tkhunny nope

Answer 25

@tkhunny i just dont get it to be honest

Answer 26

what would be my points then? its only asking for 2 points to graph @tkhunny

Answer 27

You should learn the very useful Intercept Form. Lines need two points. The Intercept Form simply gives you two points. Very convenient.

y-intercept, substitute x = 0 and solve for y. Trivial One multiplication.
x-intercept, substitute y = 0 and solve for x. Trivial One multiplication.

Answer 28

The equation is
y = -3x + 2

Let x = 0, then y = -3(0) + 2, so y = 0 + 2, y = 2
One point is (0, 2)

Let x = 1, then y = -3(1) + 2; y = -3 + 2; y = -1
The other point is (1, -1)