Question

Choose the graph below that correctly represents the equation 2x + 4y = 24.

Answer 1

1st graph is correct

Answer 2

Option 1 st is correct

Explanation:

Given the equation:

`2x+3y = 24` .....[1]

To graph this equation.

Find intercept for this equation:

x-intercept:

The line that crosses the x-axis.

Substitute y=0 in [1] and solve for x.

then;

`2x+3(0) = 24`

⇒
`2x = 24`

Divide both sides by 2 we have;

`x = 12`

x-intercept = (12, 0)

y-intercept:

The line crosses the y-axis.

Substitute x = 0 in [1] and solve for y.

`2(0)+3y = 24`

⇒
`3y= 24`

Divide both sides by 3 we have;

`y = 8`

y-intercept = (0, 8)

Using intercepts point:

we plot the given line
`2x+3y = 24` as shown below.