Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinates axes:$6x – 3y = 12$

Given:

Given equation is $6x - 3y = 12$.

To do:

We have to draw the graph and find the coordinates of the points where the graph cuts the coordinates axes.

Solution:

To represent the above equation graphically we need at least two solutions for the given equation.

For equation $6x - 3y = 12$

$6 x=12+3 y$

$x=\frac{12+3 y}{6}$

$=\frac{4+y}{2}$

If $y=0$, then

$x=\frac{4+0}{2}$

$=\frac{4}{2}$

$=2$

If $y=-4$, then

$x=\frac{4-4}{2}$

$=\frac{0}{2}$

$=0$

Plot the points $A(0, -4)$ and $B(2, 0)$ on the graph and join them to get the graph of the given equation.

The above situation can be plotted graphically as below:

The coordinates of the points where the graph cuts the coordinates axes are $(0,-4)$ and $(2,0)$.

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Updated on: 10-Oct-2022

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