Question

draw a graph of the line 4x+3y=24

Answer 1

1) If x=0,

>4(0)+3y=24
>0+3y =24
>y =24/3
>y =8

>(x,y)=(0,8)

2) If y=0
>4x+3(0)=24
>4x=24
>x=24/4
x=6

>(x,y)=(6,0)

Answer 2

4x+3y=24 (x=0)
4(0)+3y=24
0+3y=24
3y=24
y=24/3
y=8
therefore, x=0, y=8
(0,8)

4x+3y=24 (y=0)
4x+3(0)=24
4x+0=24
4x=24
x=24/4
x=6
therefore, x=6, y=0
(6,0)

4x+3y=24 (x=3)
4(3)+3y=24
12+3y=24
3y=24-12
3y=12
y=12/3
y=4
therefore, x=3, y=4
(3,4)

4x+3y=24 (x=9)
4(9)+3y=24
36+3y=24
3y=24-36
3y=-12
y=-12/3
y=-4
therefore, x=9, y=-4
(9,-4)