Question
Watch Video
Show Examples
Find the slope of a line parallel to the line whose equation is $2 x+12 y=-192$. Fully simplify your answer.
Answer Attempt 1 out of 2

Step 1 ：The slope of a line is given by the coefficient of x when the equation of the line is in the form y = mx + c, where m is the slope and c is the y-intercept. To find the slope of a line parallel to the given line, we first need to rearrange the equation of the given line into this form.

Step 2 ：Rearrange the equation 2x + 12y = -192 to the form y = mx + c. This gives us y = -x/6 - 16.

Step 3 ：The slope of the given line is -1/6. Since parallel lines have the same slope, the slope of a line parallel to the given line is also -1/6.

Step 4 ：Final Answer: The slope of a line parallel to the given line is \(\boxed{-\frac{1}{6}}\).