Question

What is the slope of this line?

Answer 1

The answer is 2/5. (or 0.4 if you need a decimal answer.)

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 must find two points through which the line passes:

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

Substituting:

$m = \frac {1-3} {- 3-2} = \frac {-2} {- 5} = \frac {2} {5}$

Answer:

$m = \frac {2} {5}$