Answer:
-7/4.
Step-by-step explanation:
This is the difference in the y coordinates / corresponding difference in the x coordinates.
here it is (16 - 9) / (-3-1)
= 7 / -4
= -7/4.
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Where:
[tex](x_ {1}, y_ {1})[/tex] and[tex](x_ {2}, y_ {2})[/tex]are two points through which the line passes.
We have as data that:
[tex](x_ {1}, y_ {1}) :( 1,9)\\(x_ {2}, y_ {2}): (- 3,16)[/tex]
Substituting we have:
[tex]m = \frac {16-9} {- 3-1} = \frac {7} {- 4} = - \frac {7} {4}[/tex]
Thus, the slope of the line is[tex]- \frac {7} {4}[/tex]
Answer:
[tex]m = - \frac {7} {4}[/tex]
