Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.
In this case we were already given the points for slope:
[tex]P1=(-4,-4) = (x1,y1)[/tex]
[tex]P2=(-2,3)=(x2,y2)[/tex]
Slope formula:
[tex]slope = \frac{y2-y1}{x2-x1}[/tex]
Now substitute:
[tex]\frac{-2--4}{3--4}[/tex]
Solve using KCC: (Keep, Change, Change)
[tex]-2+4=2[/tex]
[tex]3+4=7[/tex]
=[tex]\frac{2}{7}[/tex]
Because the slope isn't a negative you do not need to simplify the answer.
Hope this helps.
