Question

Draw the graph of the equation 4x+3y=18. Find the co-ordinates of the points where the 2 axes meets.

Answer 1

Hi there !!

4x +3y = 18

<> x = 0 , y = 6 --> (0,6) is a solution for the equation.


<> x = 6 , y = -2 -->(6,-2) is a solution.

<> x = 9/4 , y = 3 ( 9/4 , 3) is a solution .


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The point where the graph meets x axis : y = 0
4x + 3y = 18.

4x = 18

x = 18 ÷ 4

= 9/2

(9/2,0) is the point where the graph meets x axis.

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The point where graph meets y axis :

x = 0

4x + 3y = 18.

3 y = 18

y = 18/3

y = 6


(0,6) is the point where graph meets y axis

Answer 2

We have the equation, 4x+3y=18 :
Now in order to help plot the graph ( assume we would be doing so ) we need to get 2 points which satisfy this equation.
First, let x=0, then we get : 4(0) +3y=18.. Hence y =6
Similarly if we let y=0 we get : 4x+3(0)=18... Hence we get x = 18/4=9/2
therefore we got 2 points : (0,6) and (9/2,0) and hence these are the points where the above equation crosses the x-axis and y-axis respectively. 
:D