Question

A line goes through the points (8,1) and (2,−9). Find its slope. Enter your answer as a simplified improper fraction, if necessary. Do not include "m=" in your answer.

Answer 1

-5/3

Explanation:

The slope of a line passing through two points (x1,y1) and (x2,y2) can be calculated using the formula:

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

Using the given points (8,1) and (2,-9), we can substitute the values into the formula:

slope = (-9 - 1) / (2 - 8)

slope = -10 / -6

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

slope = (-10 / 2) / (-6 / 2)

slope = -5 / 3

Therefore, the slope of the line passing through the points (8,1) and (2,-9) is -5/3.