Find the slope that is parallel to the pair of points. (17, 9), (-20, 9)
To find the slope that is parallel to the pair of points, we need to find the slope of the line passing through the given points (17, 9) and (-20, 9).
The formula for finding the slope between two points (x₁, y₁) and (x₂, y₂) is given by:
m = (y₂ - y₁) / (x₂ - x₁)
Let's plug in the values of the points into the formula:
m = (9 - 9) / (-20 - 17)
m = 0 / -37
m = 0
The slope between points (17, 9) and (-20, 9) is 0.
Since we are looking for a slope that is parallel to this line, it will also have a slope of 0.
To find the slope that is parallel to the pair of points (17, 9) and (-20, 9), we need to determine the slope of the line passing through these two points.
The slope of a line can be found using the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Let's plug in the coordinates of the two points into the formula and calculate the slope:
First point: (x1, y1) = (17, 9)
Second point: (x2, y2) = (-20, 9)
slope = (9 - 9) / (-20 - 17)
= 0 / -37
= 0
The slope of the line passing through these two points is 0.
Since we're looking for a parallel line, we know that parallel lines have the same slope. Therefore, the slope of any line parallel to the pair of points (17, 9) and (-20, 9) is also 0.
To find the slope that is parallel to the pair of points (17, 9) and (-20, 9), we can use the formula for slope, which is given by:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's calculate the change in y-coordinates first:
change in y-coordinates = 9 - 9 = 0
Now let's calculate the change in x-coordinates:
change in x-coordinates = -20 - 17 = -37
Finally, we can calculate the slope:
slope = (0) / (-37) = 0
Therefore, the slope that is parallel to the pair of points (17, 9) and (-20, 9) is 0.