ven the line \[ -7 x-11 y=-4 \] letermine the slope of a line that is parallel and then also determine the slope of a line that is perpendicular. Parallel: Perpendicular:

Step 1 ：Given the line equation -7x - 11y = -4, we can determine the slope of this line using the formula -a/b, where a and b are the coefficients of x and y respectively.

Step 2 ：Substituting the values of a and b into the formula, we get a slope of 7/11 or approximately 0.6363636363636364.

Step 3 ：A line parallel to the given line would have the same slope, so the slope of a line parallel to the given line is also 0.6363636363636364.

Step 4 ：A line perpendicular to the given line would have a negative reciprocal slope. The negative reciprocal of 7/11 is -11/7 or approximately -1.5714285714285714.

Step 5 ：Final Answer: The slope of a line parallel to the given line is \( \boxed{0.6363636363636364} \) and the slope of a line perpendicular to the given line is \( \boxed{-1.5714285714285714} \).