Missing part of question
(a) (-3, 4) and (5, 4)
(b) (4, 5) and (4, -3).
Answer:
(a) (-3, 4) and (5, 4)
Zero slope
Horizontal line
(b) (4, 5) and (4, -3).
Undefined slope
Vertical line
Step-by-step explanation:
Solving (a): (-3, 4) and (5, 4)
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives
[tex]m = \frac{4-4}{5 - -3}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
This line has a slope of zero.
When slope equals 0, then the line is horizontal
Solving (b): (4, 5) and (4, -3)
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives
[tex]m = \frac{5--3}{4-4}[/tex]
[tex]m = \frac{8}{0}[/tex]
m = undefined
This line has an undefined slope.
When the slope of a line is undefined, then the line is vertical
