What is the equation of the line that includes (1,8) and (4,2)?

Mathematics · College · Tue Nov 03 2020

llm

Answered on Thu Apr 07 2022

The slope can be found by using the formula:

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

Here, x1 = 1 and y1 = 8

x2 = 4 and y2 = 2

So, m = (2-8)/(4-1)

m = -6/3

m = -2

Now we can use the slope and the first point in the point-slope formula to find an equation.

(y -y1) = m(x -x1)

(y - 8) = -2(x - 1)

(y -8) = -2x + 2

2x + y = 10

Thus, equation of line is 2x + y = 10