Question

for each of the line segments in the graph below, find the slope (as a ratio of rise over run) of each line segment.

1. line 1 =
2. line 2 =
3. line 3 =
4. line 4 =
5. line 5 =
6. line 6 =
7. line 7 =
8. line 8 =
9. line 9 =
10. line 10 =
11. line 11 =
12. line 12 =

Explanation:

Step1: Define slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Calculate Line 1 slope

Points: $(-7,0), (-7,7)$
$m = \frac{7-0}{-7-(-7)} = \frac{7}{0}$ (undefined)

Step3: Calculate Line 2 slope

Points: $(-7,7), (-3,3)$
$m = \frac{3-7}{-3-(-7)} = \frac{-4}{4} = -1$

Step4: Calculate Line 3 slope

Points: $(-3,3), (1,7)$
$m = \frac{7-3}{1-(-3)} = \frac{4}{4} = 1$

Step5: Calculate Line 4 slope

Points: $(1,7), (1,0)$
$m = \frac{0-7}{1-1} = \frac{-7}{0}$ (undefined)

Step6: Calculate Line 5 slope

Points: $(6,0), (8,3)$
$m = \frac{3-0}{8-6} = \frac{3}{2}$

Step7: Calculate Line 6 slope

Points: $(8,7), (10,3)$
$m = \frac{3-7}{10-8} = \frac{-4}{2} = -2$

Step8: Calculate Line 7 slope

Points: $(8,3), (10,3)$
$m = \frac{3-3}{10-8} = \frac{0}{2} = 0$

Step9: Calculate Line 8 slope

Points: $(10,3), (12,0)$
$m = \frac{0-3}{12-10} = \frac{-3}{2}$

Step10: Calculate Line 9 slope

Points: $(-7,0), (1,0)$
$m = \frac{0-0}{1-(-7)} = \frac{0}{8} = 0$

Step11: Calculate Line 10 slope

Points: $(-3,0), (-3,-7)$
$m = \frac{-7-0}{-3-(-3)} = \frac{-7}{0}$ (undefined)

Step12: Calculate Line 11 slope

Points: $(6,0), (12,0)$
$m = \frac{0-0}{12-6} = \frac{0}{6} = 0$

Step13: Calculate Line 12 slope

Points: $(6,0), (6,-7)$
$m = \frac{-7-0}{6-6} = \frac{-7}{0}$ (undefined)

Answer:

1. Line 1 = Undefined
2. Line 2 = $-1$
3. Line 3 = $1$
4. Line 4 = Undefined
5. Line 5 = $\frac{3}{2}$
6. Line 6 = $-2$
7. Line 7 = $0$
8. Line 8 = $-\frac{3}{2}$
9. Line 9 = $0$
10. Line 10 = Undefined
11. Line 11 = $0$
12. Line 12 = Undefined