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