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

To calculate the slope of a line that passes through two points, you can use the slope formula:

• Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, the two points are (1, 7) and (10, 1). Here, we can define:

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

Now we can plug these values into the slope formula:

• m = (1 – 7) / (10 – 1)
• m = (-6) / (9)
• m = -2/3

So, the slope of the line passing through the points (1, 7) and (10, 1) is -2/3.

This negative slope indicates that as you move from left to right along the line, the line descends. Understanding the slope helps you visualize how steep the line is and in which direction it’s trending.