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 = [tex] \frac{4}{3} [/tex]
[tex] slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = \frac{8 - 4}{-5 -(-8)} [/tex]
[tex] slope = \frac{8 - 4}{-5 + 8} [/tex]
[tex] slope = \frac{4}{3} [/tex]
9. Line 3 = [tex] \frac{4}{3} [/tex]
[tex] slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = \frac{8 - 4}{-2 -(-5)} [/tex]
[tex] slope = \frac{8 - 4}{-2 + 5} [/tex]
[tex] slope = \frac{4}{3} [/tex]
10. Line 4 = undefined (slope of a vertical line is always undefined)
11. Line 5 = [tex] \frac{7}{3} [/tex]
[tex] slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = \frac{8 - 1}{5 - 2} [/tex]
[tex] slope = \frac{7}{3} [/tex]
12. Line 6 = [tex] -\frac{7}{3} [/tex]
[tex] slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] slope = \frac{8 - 1}{5 - 8} [/tex]
[tex] slope = \frac{7}{-3} [/tex]
[tex] slope = -\frac{7}{3} [/tex]
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)
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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