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4. Determine the slope of the line represented by the equation16x + 4y = 8.

Sagot :

SOLUTION:

Step 1:

In this question, we are given the following:

Determine the slope of the line represented by the equation

16x + 4y = 8.



Step 2:

In determining the slope of the equation:

[tex]\begin{gathered} 16\text{ x + 4y = 8} \\ \text{Comparing with y = mx + c, we have that:} \\ 4y\text{ = - 16 x + 8} \\ \text{Divide both sides by 4, we have that:} \\ \frac{4y}{4}\text{ =}\frac{-16x}{4}\text{ +}\frac{8}{4} \\ y\text{ = - 4 x + 2} \end{gathered}[/tex]

CONCLUSION:

Hence , the slope of the line, m = - 4

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