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. \[ 7 x-8 y=1 \] Answer How to enter your answer (opens in new window) Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered

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 \(\boxed{\frac{7}{8}}\).