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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 =

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 class=

Sagot :

Given:

[tex]4x+7y=28[/tex]

To fill the table:

Explanation:

Substituting x = 0 in the given equation we get,

[tex]\begin{gathered} 7y=28 \\ y=4 \end{gathered}[/tex]

Substituting y = 0 in the given equation we get,

[tex]\begin{gathered} 4x=28 \\ x=7 \end{gathered}[/tex]

So, the points are

[tex](0,4),(7,0)[/tex]

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

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{0-4}{7-0} \\ m=\frac{-4}{7} \end{gathered}[/tex]

Therefore, the slope for the given equation is,

[tex]m=\frac{-4}{7}[/tex]

Final answer:

• When x = 0; y becomes 4.

,

• When y = 0; x becomes 7.

And

• The slope for the given equation is,

[tex]m=\frac{-4}{7}[/tex]

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