Problem

Question 7 of 11 , Step 1 of 1
$8 / 15$
Correct
Find the slope of the line determined by the following equation. Simplify your answer.
\[
7 x-8 y=1
\]
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Final Answer: The slope of the line determined by the equation 7x - 8y = 1 is \(\boxed{\frac{7}{8}}\).

Steps

Step 1 :The equation of a line is usually given in the form y = mx + c, where m is the slope of the line. To find the slope of the line determined by the equation 7x - 8y = 1, we need to rearrange the equation into the form y = mx + c.

Step 2 :Rearrange the equation to get y = \(\frac{7}{8}x - \frac{1}{8}\).

Step 3 :From the rearranged equation, we can see that the slope of the line, m, is \(\frac{7}{8}\).

Step 4 :Final Answer: The slope of the line determined by the equation 7x - 8y = 1 is \(\boxed{\frac{7}{8}}\).

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