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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.

Each of the line segments in the word MATH are numbered in the graph below. Find the-example-1

1 Answer

4 votes

Answer:

Line 1:
\infty

Line 2:
-(4)/(3)

Line 3:
(4)/(3)

Line 4:
\infty

Line 5:
(7)/(4)

Line 6 :
-(7)/(3)

Line 7: 0

Line 8: 0

Line 9:
\infty

Line 10:
\infty

Line 11: 0

Line 12:
\infty

Explanation:

Slope of line is given by the formula:


\text{Slope = }\frac{\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 =
-(4)/(3)

Line 3:

Change in
y coordinate = 4

Change in
x coordinate = 3

Slope =
(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 =
(7)/(3)

Line 6:

Change in
y coordinate = -7

Change in
x coordinate = 3

Slope =
-(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.

User Grant Zhu
by
7.6k points

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