Answer:
(1) The slope of the line having y = 5 as its equation is zero ⇒ (C)
(2) The slope of the line having x = -4 as its equation is undefined ⇒ (B)
Step-by-step explanation:
- The line is a horizontal line if the y-coordinates of all points lie on it have the same value
- The equation of the horizontal line is y = b, b is the y-intercept (0, b)
- The slope of the horizontal line is zero
- The line is a vertical line if the x-coordinates of all points lie on it have the same value
- The equation of the vertical line is x = a, a is the x-intercept (a, 0)
- The slope of the vertical line is undefined
Let us use the rules above to solve the question
(1)
∵ The equation of the line is y = 5
→ That means the line is horizontal
∴ The line is a horizontal line
∵ The slope of the horizontal line = zero
∴ The slope of the line having y = 5 as its equation is zero
(2)
∵ The equation of the line is x = -4
→ That means the line is vertical
∴ The line is a vertical line
∵ The slope of the vertical line is undefined
∴ The slope of the line having x = -4 as its equation is undefined
