Question

The coordinates of points A and B (2, 3) and (-2,-4) respectively.what is the slope of the line that connects two points

Answer 1

Answer:

7/4

Step-by-step explanation:

The slope of the line going through (2,3) and (-2,-4) can be found by:

A) Lining up points

B)  Subtracting the numbers vertically

C) Answer: Putting 2nd difference over 1st difference (yes a fraction)

 Let's do it!

 (  2  ,  3)

-( -2  ,  -4)

--------------

4       7

So the slope is 7/4

Answer 2

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

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

We have as data the following points:

$(x1, y1) = (2,3)\\(x2, y2) = (- 2, -4)$

Substituting in the formula we have:

$m = \frac {-4-3} {- 2-2}$

Equal signs are added and the same sign is placed:

$m = \frac {-7} {- 4}\\m = \frac {7} {4}$

Answer:

$m = \frac {7} {4}$