What is the original slope and parallel slope

(0,4) (4,5)

1 answer

To find the slope of a line passing through two given points (x₁, y₁) and (x₂, y₂), we can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Given the points (0,4) and (4,5), we can substitute the values into the formula to find the slope:

slope = (5 - 4) / (4 - 0)
= 1 / 4

Therefore, the original slope is 1/4.

When two lines are parallel, they have the same slope. So, the parallel slope to a line with a slope of 1/4 is also 1/4.