Question

What is the slope of the line graphed below ? (1,1) (3,2)

Answer 1

`m = (1)/(2)`

Explanation:

`(y2 - y1)/(x2 - x1)`

`(2-1)/(3-1)`

`2-1 = 1\\ 3-1=2`

`m = (1)/(2)`

Answer 2

For this case we have that by definition, the slope of a line is given by:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}`

We have two points through which the line passes:

`(x_ {1}, y_ {1}) :( 1,1)\\(x_ {2}, y_ {2}) :( 3,2)`

Substituting:

`m = \frac {2-1} {3-1} = \frac {1} {2}`

Thus, the slope of the line is
`\frac {1} {2}`

Answer:

Option C