Question

A line passes through the points (1, 2) and (3, 1). What is the slope of the line?

Answer 1

Answer:

The slope is -1/2

Step-by-step explanation:

To find the slope you have to use the formula:  Δy/Δx OR change in y/change in x.

The change in y for these points is -1 (2-1)

The change in x for these points is 2 (1+2)

Then divide the change in y by the change in x. ( -1 divided by 2)

You will get -0.5 or -1/2 as your final answer for the slope.

Answer 2

Answer:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Slope of the line using points

(1, 2) and (3, 1) is

Slope = 1-2/3-1 = -1/2

Equation of the line using point (1,2)

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

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

y = -1/2x + 5/2

Hope this helps you