Question

Find the x - and y -intercepts of the graph of the linear equation 3x+6y=24 .

The x -intercept is
.

The y -intercept is
.

Answer 1

Given :-

• A linear equation in two variables , 3x + 6y = 24 .

To Find :-

• The x and y intercept of the graph .

Solution :-

Given equation is ,

`3x + 6y = 24`

To find the y intercept set x = 0 , we have ,

`3(0) +6y = 24`

Simplify ,

`6y = 24`

Divide both sides by 6 ,

`y = 4`

Hence the y intercept is 4 .

`\rule{200}2`

Now again to find x intercept , set y = 0

`3x +6(0)= 24`

Simplify ,

`3x = 24`

Divide both sides by 3 ,

`x = 8`

Hence the x intercept is 8 .