Question

What is the slope of the line that passes through the points left bracket, 1, comma, 6, right bracket(1,6) and left bracket, 13, comma, 2, right bracket(13,2)? Write your answer in simplest form.

Answer 1

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

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

For the given points (1, 6) and (13, 2), we have:

slope = (2 - 6) / (13 - 1)
= -4 / 12
= -1/3

Therefore, the slope of the line is -1/3.