Question

Draw the graph of the linear equation 3x + 4y = 6. At what points, does the graph cut the x-axis and the y-axis?

Answer 1

$3x+4y=6\Rightarrow 4y=6-3x\Rightarrow y=\frac{6-3x}{4}$

$\text{Putting}x=-2,y=\frac{6-3(-2)}{4}=\frac{6+6}{4}=\frac{12}{4},y=3$

$\text{Putting}x=0,y=\frac{6-3\times 0}{4}=\frac{6}{4}=1.5$

$\text{Putting}x=2,y=\frac{6-3\times 2}{4}=\frac{6-6}{4}=,y=0$

x	-2	0	2
y	3	1.5	0

Graph cuts the x axis at (2,0) and the y axis at (0, 1.5).