Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinates axes:$3x + 2y + 6 = 0$

Given:

Given equation is $3x + 2y + 6 = 0$.

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 $3x + 2y + 6 = 0$

$2y=-6-3x$

$y=\frac{-6-3x}{2}$

If $x=0$, then

$y=\frac{-6-3(0)}{2}$

$=\frac{-6}{2}$

$=-3$

If $x=-2$, then

$y=\frac{-6-3(-2)}{2}$

$=\frac{-6+6}{2}$

$=0$

Plot the points $A(0, -3)$ 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 $(0,-3)$ and $(-2,0)$.  

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Simply Easy Learning

Updated on: 10-Oct-2022

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