What is your slope of the line that contains the points (4,3) and (2,7)?

Question

asked Aug 4, 2020 72.5k views

2 Answers

Miguel Trias · Answer 1 · 2020-08-07T17:27:01+0000

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

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

Where
$(x_ {1}, y_ {1})\ and\ (x_ {2}, y_ {2})$ are two points that belong to the line.

Then, having the following points:

$(x_ {1}, y_ {1}) = (4,3)\\(x_ {2}, y_ {2}) = (2,7)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\m = \frac {7-3} {2-4}\\m = \frac {4} {- 2}\\m = -2$

Thus, the slope is given by
m = -2

Answer:

Option B