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Nat2105 [25]
2 years ago
8

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

line segment.

Mathematics
1 answer:
Leviafan [203]2 years ago
7 0

Answer:

Line 1: \infty

Line 2: -\frac{4}{3}

Line 3: \frac{4}{3}

Line 4: \infty

Line 5: \frac{7}{4}

Line 6 : -\frac{7}{3}

Line 7: 0

Line 8: 0

Line 9: \infty

Line 10: \infty

Line 11: 0

Line 12: \infty

Step-by-step explanation:

Slope of line is given by the formula:

\text{Slope = }\dfrac{\text{Change in } y\text{ coordinate}}{\text{Change in } x\text{ coordinate}}

Line 1:

The change in x coordinate is zero.

Therefore slope of line 1 is \infty.

Line 2:

Change in y coordinate = -4

Change in x coordinate = 3

Slope = -\frac{4}{3}

Line 3:

Change in y coordinate = 4

Change in x coordinate = 3

Slope = \frac{4}{3}

Line 4:

The change in x coordinate is zero.

Therefore slope of line 4 is \infty.

Line 5:

Change in y coordinate = 7

Change in x coordinate = 3

Slope = \frac{7}{3}

Line 6:

Change in y coordinate = -7

Change in x coordinate = 3

Slope = -\frac{7}{3}

Line 7:

Change in y coordinate = 0

Slope = 0

Line 8:

Change in y coordinate = 0

Slope = 0

Line 9:

The change in x coordinate is zero.

Therefore slope of line 9 is \infty.

Line 10:

The change in x coordinate is zero.

Therefore slope of line 10 is \infty.

Line 11:

The change in y coordinate is zero.

Therefore slope of line 11 is 0.

Line 12:

The change in x coordinate is zero.

Therefore slope of line 12 is \infty.

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