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
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y2-y1} {x2-x1}[/tex]
We have as data the following points:
[tex](x1, y1) = (2,3)\\(x2, y2) = (- 2, -4)[/tex]
Substituting in the formula we have:
[tex]m = \frac {-4-3} {- 2-2}[/tex]
Equal signs are added and the same sign is placed:
[tex]m = \frac {-7} {- 4}\\m = \frac {7} {4}[/tex]
Answer:
[tex]m = \frac {7} {4}[/tex]
