Find the slope of the line that passes through (6, 7) and (2, 16). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Mathematics · High School · Mon Jan 18 2021

Answered on

Given:

(6, 7)

(2, 16)

x1 = 6

x2 = 7

y1= 2

y2 = 16

Find the slope of the line.

Formula for the slope of the line:

m = change in y/ change in x

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

Solution:

Substitute the given values to the formula for the slope of the line.

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

m = (16 - 2)/(7 - 6)

m = (14)/(1)

m = 14/1 

m =14/1

We write it as an improper fraction in order to suffice the given condition.


Final answer:
The slope of the line =14/1