How do you calculate the slope of the line that passes through the points (7, 1) and (1, 10)?

The slope of a line is a measure of its steepness and is calculated using the formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, we are given the points (7, 1) and (1, 10). Let’s designate:

• (x₁, y₁) = (7, 1)
• (x₂, y₂) = (1, 10)

Now, we can plug the coordinates into the slope formula:

m = (10 – 1) / (1 – 7)

This simplifies to:

m = 9 / -6

Which reduces to:

m = -3/2

Thus, the slope of the line that passes through the points (7, 1) and (1, 10) is -3/2. This negative slope indicates that the line descends as it moves from left to right.