What is the original slope and parallel slope?

(0, -7), (4, -3)

To find the slope of the line passing through the points (0, -7) and (4, -3), we can use the formula:

Slope = (change in y) / (change in x)

Using the coordinates of the two points:

Slope = (-3 - (-7)) / (4 - 0)
= (-3 + 7) / 4
= 4 / 4
= 1

Therefore, the original slope of the line passing through these two points is 1.

The parallel slope is the same as the original slope. So, the parallel slope for this line is also 1.

To find the original slope, you can use the formula:

slope = (change in y) / (change in x)

Given the points (0, -7) and (4, -3), we can find the change in y and change in x:

Change in y = -3 - (-7) = -3 + 7 = 4
Change in x = 4 - 0 = 4

Therefore, the original slope is:

slope = 4 / 4 = 1

To find the parallel slope, we know that parallel lines have the same slope. So the parallel slope is also 1.

To determine the original slope of a line passing through two given points, we need to apply the formula:

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

Here, the given points are (0, -7) and (4, -3).

Substituting the corresponding values into the formula, we get:

slope = (-3 - (-7)) / (4 - 0)
= (-3 + 7) / 4
= 4 / 4
= 1

Hence, the original slope of the line passing through the points (0, -7) and (4, -3) is 1.

Now, to find the parallel slope, we need to understand that parallel lines have the same slope. So, the parallel slope will also be 1.

Therefore, the original slope is 1, and the parallel slope is also 1.