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Draw the graph of each of the following linear equations in two variables.$ \frac{x}{2}-\frac{y}{3}=2 $
Given:
The given equation is \( \frac{x}{2}-\frac{y}{3}=2 \).
To do:
We have to draw the graph of the given linear equation in two variables.
Solution:
To represent the above equation graphically we need at least two solutions for the given equation.
For equation \( \frac{x}{2}-\frac{y}{3}=2 \),
$\frac{y}{3}=\frac{x}{2}-2$
$y=\frac{3(x)}{2}-2(3)$
$y=\frac{3x}{2}-6$
If $x=0$ then $y=\frac{3(0)}{2}-6=-6$
If $x=2$ then $y=\frac{3(2)}{2}-6=3-6=-3$
$x$ | $0$ | $2$ |
$y$ | $-6$ | $-3$ |
Plot the points $A(0, -6)$ and $B(2, -3)$ on the graph and join them to get the graph of the given equation.
The above situation can be plotted graphically as below:
Updated on: 10-Oct-2022
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