Question

slope and rate of change
each of the line segments in the word math are numbered in the graph below. determine if the slope of each line is positive, negative, zero, or undefined.

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: Identify vertical line slope

Vertical lines have undefined slope (no run, division by zero). Lines 1,4,9,10,12 are vertical.

Step2: Identify horizontal line slope

Horizontal lines have zero slope (no rise). Lines 7,8,11 are horizontal.

Step3: Identify positive slope lines

Lines rising right have positive slope. Lines 3,5 are rising right.

Step4: Identify negative slope lines

Lines falling right have negative slope. Lines 2,6 are falling right.

Answer:

1. Line 1 = Undefined
2. Line 2 = Negative
3. Line 3 = Positive
4. Line 4 = Undefined
5. Line 5 = Positive
6. Line 6 = Negative
7. Line 7 = Zero
8. Line 8 = Zero
9. Line 9 = Undefined
10. Line 10 = Undefined
11. Line 11 = Zero
12. Line 12 = Undefined