# What is the slope of the line passing through the following points: # (5, -2) ; (2,-6)#?

The slope is

As (5,-2) is listed first then it is assumed to be the first point.

Given:

Let m be the slope (gradient)

But a negative divided by another negative gives a positive answer.

By signing up, you agree to our Terms of Service and Privacy Policy

To find the slope of the line passing through the points (5, -2) and (2, -6), you can use the slope formula:

[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} ]

Substitute the coordinates of the points into the formula:

[ \text{Slope} = \frac{(-6) - (-2)}{2 - 5} ]

[ \text{Slope} = \frac{-6 + 2}{2 - 5} ]

[ \text{Slope} = \frac{-4}{-3} ]

[ \text{Slope} = \frac{4}{3} ]

So, the slope of the line passing through the points (5, -2) and (2, -6) is ( \frac{4}{3} ).

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7