Find the slope of each line

y = 1/5x - 1

The slope of the line y = 1/5x - 1 is 1/5.

In the equation y = (1/5)x - 1, the coefficient of x represents the slope. Thus, the slope of the line is 1/5.

To find the slope of a line, we need to identify the coefficient of x in the equation of the line. In the given equation, y = (1/5)x - 1, the coefficient of x is 1/5, which represents the slope of the line.

Therefore, the slope of the line is 1/5.

Find the slope that is perpendicular to the pair of points

(17, 9), (-20, 9)

To find the slope of a line perpendicular to the given pair of points, we need to first find the slope of the line passing through these points.

Let's use the formula for finding the slope given two points, which is:
slope = (y2 - y1) / (x2 - x1)

Using the given points (17, 9) and (-20, 9) in the formula, we have:
slope = (9 - 9) / (-20 - 17)
slope = 0 / -37
slope = 0

The slope of the line passing through the points is 0.

Since a line perpendicular to another line has a negative reciprocal slope, the slope of the perpendicular line would be the negative reciprocal of 0, which is undefined.

Therefore, the slope of the line perpendicular to the pair of points (17, 9), (-20, 9) is undefined.

Find the slope that is perpendicular to the pair of points

(18, 0), (-9, 17)

To find the slope of a line perpendicular to the given pair of points, we need to first find the slope of the line passing through these points.

Let's use the formula for finding the slope given two points, which is:
slope = (y2 - y1) / (x2 - x1)

Using the given points (18, 0) and (-9, 17) in the formula, we have:
slope = (17 - 0) / (-9 - 18)
slope = 17 / (-27)
slope = -17/27

So, the slope of the line passing through the points (18, 0) and (-9, 17) is -17/27.

Since a line perpendicular to another line has a negative reciprocal slope, we can find the slope of the perpendicular line by taking the negative reciprocal of -17/27.

The negative reciprocal of -17/27 is 27/17.

Therefore, the slope of the line perpendicular to the pair of points (18, 0) and (-9, 17) is 27/17.

Find the slope of a line parallel to each given line.

Y = -1/3x -4

The slope of the given line y = -1/3x - 4 is -1/3.

For a line to be parallel to this line, it must have the same slope.

Therefore, the slope of a line parallel to the given line y = -1/3x - 4 is -1/3.

Find the slope of a line parallel to each given line.

X = 2y = 4