Question

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.

Answer 1

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 $\infty$.