Question

Complete the table, then use the results to find the slope of the graph of the equation. 4x + 7y = 28 X l Y 0 0Slope =

Answer 1

Given:

`4x+7y=28`

To fill the table:

Step-by-step explanation:

Substituting x = 0 in the given equation we get,

`\begin{gathered} 7y=28 \\ y=4 \end{gathered}`

Substituting y = 0 in the given equation we get,

`\begin{gathered} 4x=28 \\ x=7 \end{gathered}`

So, the points are

`(0,4),(7,0)`

Using the points, let us find the slope of the line.

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(0-4)/(7-0) \\ m=(-4)/(7) \end{gathered}`

Therefore, the slope for the given equation is,

`m=(-4)/(7)`

Final answer:

• When x = 0; y becomes 4.

,

• When y = 0; x becomes 7.

And

• The slope for the given equation is,

`m=(-4)/(7)`