Question

What is the graph of 6x+3y=18?

Answer 1

The graph of 6x + 3y = 18 is a straight line passing through points (0, 6) and (3, 0).

Answer 2

Answer:

The graph of 6x+3y=18 is straight line graph .

Step-by-step explanation:

Given : 6x+3y=18

Solution :

$6x+3y=18$

$y = \frac{18-6x}{3}$

$y= 6 - 2x$  ----(a)

The general form of equation of line is y = mx+c

comparing general form with equation (a)

We can see equation (a) is in the form of general form of equation of line

where m = -2 (slope)

So, this equation has a straight line graph.

We can also check by finding and plotting the points on the graph

$y= 6 - 2x$

For x = 0 in this equation we get the value of y = 6-(2*0) = 6-0 = 6

(0,6) is the coordinate of this equation  .

Take another value of x  i.e. x= 1 then y will be : y = 6-(2*1) = 6-2 = 4

(1,4)  is the coordinate of this equation  .

Again with another value of x i.e. x= 2 then y will be : y = 6 - (2*2) = 6 - 4 = 2

(2,2) is the coordinate of this equation  .

Again with another value of x i.e. x=3 then y will be : y = 6 - (2*3) = 6 - 6 = 0

(3,0) is the coordinate of this equation  .

Plotting these points we are getting a straight line graph (refer to attached file )

Thus, the given equation is a straight line graph .