Question

Draw the graph of equation 3x+6y=12. Find the coordinates of the point where the graph cuts the y-axis.

Answer 1

3x+6y=12
6y=12-3x
y= (4-x)/2

when x=0, y=2
when x=2, y=1
when x=-2, y=3

x 0 2 -2
y 2 1 3

sorry no graphs.

Answer 2

The graph of line cuts y-axis at (0,2)

Step-by-step explanation:

Given:

• An equation of line $3x + 6y = 12$.

To find:

• Draw the graph of equation 3x+6y=12.
• Find the coordinates of the point where the graph cuts the y-axis.

Solution:

Step 1:

Draw graph of line.

To draw graph of line, find few points which satisfy the equation of line.

put x=0.

$3(0) + 6y = 12$

or

$6y = 12$

or

$y = 2$

One point is (0,2).

By this way find other points, listed in the table given below.

$\begin{tabular}{|c|c|c|}\cline{1-2}x&y\\\cline{1-2}-2&3\\\cline{1-2}0&2\\\cline{1-2}2&1\\\cline{1-2}4&0\\\cline{1-2}\end{tabular}$

Plot these points on graph paper and join all to draw the line.

See the attached graph.

Step 2:

Find the coordinates of the point where the graph cuts the y-axis.

It is clear that graph cuts y-axis at (0,2).

Thus,

The graph of line cuts y-axis at (0,2).

Graph of line is attached.

Learn more:

1) Draw the graph of the equations x/4+y/5=1 also find the area of the triangle formed by the line and the coordinate axes

...

https://brainly.in/question/46429107

2) Draw the graph x + 2y = 6 and from the graph, find the value of x when y = –3.

https://brainly.in/question/4426046

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