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.

This is very easy, i added multiple choice myself. I am offering 100 points meaning 50 for each answer DON'T WASTE MY POINTS ANSWERS WILL BE REMOVED!!
Do not guess too!

Thanks, Luis

Answer 1

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

Answer 2

Slope = Change in Y / Change in X = dY ie Rise / dX ie Run

Line 1 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 2 : Change in Y (dY), ie Rise = (-) 4. Change in X (dX), ie Run = 3. The line is downward sloping. So, Slope = - 4/3

Line 3 : Change in Y (dY), ie Rise = 4. Change in X (dX), ie Run = 3. The line is upward sloping. So, Slope = 4/3

Line 4 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 5 : Change in Y (dY), ie Rise = 7. Change in X (dX), ie Run = 3. The line is upward sloping. So, Slope = 7/3

Line 6 : Change in Y (dY), ie Rise = (-) 7. Change in X (dX), ie Run = 3. The line is downward sloping. So, Slope = - 7/3

Line 7 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 8 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 9 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 10 : Undefined, as there is no change in value of X & dX ie Run = 0

Line 11 : 0, as there is no change in value of Y & dY ie Rise = 0

Line 12 : Undefined, as there is no change in value of X & dX ie Run = 0

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