Answer:
(–10, –2), (6, 6)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Verify each case
case 1) (5, –4), (–2, 1)
substitute in the formula
[tex]m=\frac{1-(-4)}{-2-5}[/tex]
[tex]m=\frac{1+4}{-2-5}[/tex]
[tex]m=\frac{5}{-7}[/tex]
[tex]m=-\frac{5}{7}[/tex] ----> the slope is negative
case 2) (6, –10), (2, 10)
substitute in the formula
[tex]m=\frac{10-(-10)}{2-6}[/tex]
[tex]m=\frac{10+10}{2-6}[/tex]
[tex]m=\frac{20}{-4}[/tex]
[tex]m=-5[/tex] ----> the slope is negative
case 3) (–10, –2), (6, 6)
substitute in the formula
[tex]m=\frac{6-(-2)}{6-(-10)}[/tex]
[tex]m=\frac{6+2}{6+10}[/tex]
[tex]m=\frac{8}{16}[/tex]
[tex]m=0.5[/tex] ----> the slope is positive
case 4) (5, –1), (–6, 6)
substitute in the formula
[tex]m=\frac{6-(-1)}{-6-5}[/tex]
[tex]m=\frac{6+1}{-6-5}[/tex]
[tex]m=\frac{7}{-11}[/tex]
[tex]m=-\frac{7}{11}[/tex] ----> the slope is negative
