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

$x=4(2)-8$

$=8-8$

$=0$

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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Updated on: 10-Oct-2022

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