Question

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

Answer 1

Answer:

$m = \frac{1}{2}$

Step-by-step explanation:

$\frac{y2 - y1}{x2 - x1}$

$\frac{2-1}{3-1}$

$2-1 = 1\\ 3-1=2$

$m = \frac{1}{2}$

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