Consider the line =+9x8y−7.What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line?

To find the slope of a line parallel to the given line, we need to determine the slope of the given line. The given line is in the form of y = mx + b, where m represents the slope.

In this case, the given line is 9x + 8y - 7 = 0. To find the slope, we need to rearrange the equation in the form of y = mx + b.

First, let's isolate the term with y by subtracting 9x and 7 from both sides of the equation:

8y = -9x + 7

Next, divide both sides of the equation by 8 to solve for y:

y = (-9/8)x + 7/8

Now we can see that the slope of the given line is -9/8.

Since parallel lines have the same slope, the slope of any line parallel to the given line will also be -9/8.

To find the slope of a line perpendicular to the given line, we need to find the negative reciprocal of the slope of the given line.

The negative reciprocal of -9/8 is 8/9.

Therefore, the slope of a line perpendicular to the given line is 8/9.