What is the original slope and parallel slope?
(3, -2), (6, -3)
To find the slope of the line passing through the points (3, -2) and (6, -3), we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates into the formula:
slope = (-3 - (-2)) / (6 - 3)
slope = (-3 + 2) / (6 - 3)
slope = -1 / 3
So, the original slope is -1/3.
To find the parallel slope, we need to note that parallel lines have the same slope. Therefore, the parallel slope to a line with a slope of -1/3 will also be -1/3.
To find the original slope, we need to use the formula:
slope = (y2 - y1) / (x2 - x1)
Given the points (3, -2) and (6, -3), let's plug the values into the formula:
slope = (-3 - (-2)) / (6 - 3)
= (-3 + 2) / (6 - 3)
= -1 / 3
Therefore, the original slope is -1/3.
To find the parallel slope, we need to know which line the given points lie on. We can assume that the two points lie on the same line. In that case, any line parallel to this line will also have the same slope.
So, the parallel slope is also -1/3.
To find the original slope, we need to calculate the slope between the two given points. The formula for finding the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates of the given points into the formula:
(x1, y1) = (3, -2)
(x2, y2) = (6, -3)
m = (-3 - (-2)) / (6 - 3)
= (-3 + 2) / (6 - 3)
= -1 / 3
Therefore, the original slope between the given points is -1/3.
To find the parallel slope, we need to recall that parallel lines have the same slope. So, the parallel slope will also be -1/3.