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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