Question

1. (-18, -2), (-14, -12)
2. (-18, -4), (-9, 1)
3. (-7, -14), (17, -8)

1. (5, 15), (-3, 10)
2. (-8, 18), (12, -2)
3. (4, -18), (0, -18)

1. (12, 5), (4, 12)
2. (-5, -1), (-10, 10)

#21-26,
write the type of slope.

Explanation:

The formula for the slope between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.

Step1: Calculate slope for #13

Points $(-18,-2),(-14,-12)$
$m=\frac{-12-(-2)}{-14-(-18)}=\frac{-10}{4}=-\frac{5}{2}$

Step2: Calculate slope for #14

Points $(-18,-4),(-9,1)$
$m=\frac{1-(-4)}{-9-(-18)}=\frac{5}{9}$

Step3: Calculate slope for #15

Points $(-7,-14),(17,-8)$
$m=\frac{-8-(-14)}{17-(-7)}=\frac{6}{24}=\frac{1}{4}$

Step4: Calculate slope for #16

Points $(5,15),(-3,10)$
$m=\frac{10-15}{-3-5}=\frac{-5}{-8}=\frac{5}{8}$

Step5: Calculate slope for #17

Points $(-8,18),(12,-2)$
$m=\frac{-2-18}{12-(-8)}=\frac{-20}{20}=-1$

Step6: Calculate slope for #18

Points $(4,-18),(0,-18)$
$m=\frac{-18-(-18)}{0-4}=\frac{0}{-4}=0$

Step7: Calculate slope for #19

Points $(12,5),(4,12)$
$m=\frac{12-5}{4-12}=\frac{7}{-8}=-\frac{7}{8}$

Step8: Calculate slope for #20

Points $(-5,-1),(-10,10)$
$m=\frac{10-(-1)}{-10-(-5)}=\frac{11}{-5}=-\frac{11}{5}$

Answer:

1. $-\frac{5}{2}$
2. $\frac{5}{9}$
3. $\frac{1}{4}$
4. $\frac{5}{8}$
5. $-1$
6. $0$
7. $-\frac{7}{8}$
8. $-\frac{11}{5}$