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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:$-x + 4y = 8$
Given:
Given equation is $-x + 4y = 8$.
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 $-x + 4y = 8$
$x=4y-8$
If $y=0$, then
$x=4(0)-8$
$=0-8$
$=-8$
If $y=2$, then
$x=4(2)-8$
$=8-8$
$=0$
$x$ | $0$ | $-8$ |
$y$ | $2$ | $0$ |
Plot the points $A(0, 2)$ and $B(-8, 0)$ 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 $(0,2)$ and $(-8,0)$.
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