Question

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

Answer 1

Answer:

Option 1 st is correct

Step-by-step 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.

Answer 2

1st graph is correct