What is the original slope and parallel slope?

(0, 7), (3, 6)

To find the slope between the two points (0, 7) and (3, 6) using the formula:

slope = (y2 - y1) / (x2 - x1)

Substituting the coordinates into the formula:

slope = (6 - 7) / (3 - 0)
= -1 / 3

So, the original slope is -1/3.

For two lines to be parallel, they must have the same slope.

Therefore, the parallel slope is also -1/3.

To find the slope between two points, you can use the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points (0, 7) and (3, 6), we can substitute the values into the formula to find the original slope:

slope = (6 - 7) / (3 - 0)
slope = -1 / 3

The original slope is -1/3.

To find the slope of a line parallel to the original line, the slope will be the same. Therefore, the parallel slope is also -1/3.

To find the slope between two points, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

Let's plug in the coordinates of the given points:

Point 1: (x1, y1) = (0, 7)
Point 2: (x2, y2) = (3, 6)

Using the slope formula, we have:

slope = (6 - 7) / (3 - 0)
= -1 / 3

So, the slope between the two points is -1/3.

The parallel slope will have the same value as the original slope. Therefore, the original slope and parallel slope in this case are both -1/3.