Question

draw the graph of the linear equation 3x +4y =6 .at what points,the graph cut the x-axis and the y-axis.

Answer 1

graph cut x axis at 2 nd y axis at 1.5

Answer 2

Answer:

Line cut x-axis at (2,0)

Line cut y-axis at (0,1.5)

Refer the attached figure below.

Step-by-step explanation:

Given : The linear equation $3x +4y =6$

To Draw : The graph of the linear equation and points at which the line cuts  x-axis and the y-axis?

Solution :

First we plot the graph of the linear equation,

Finding the points through which line cut x-axis and y-axis.

Put x=0,

$3(0)+4y =6$

$4y =6$

$y=1.5$

Point is (0,1.5)

Put y=0,

$3x+4(0)=6$

$3x=6$

$x=2$

Point is (2,0)

So, The line passes through these two points.

Line cut x-axis at (2,0)

Line cut y-axis at (0,1.5)

Refer the attached figure below.