Find the slope of the line through the points (2, −4) and (2, −3). Is the line horizontal, vertical, or neither?
2 answers:
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Answer:
Slope of perpendicular line is -1/3
Step-by-step explanation:
The slope of the given line is 3 and we have to find the slope of the perpendicular line.
We know that the slope of two perpendicular lines are negative reciprocal of each other.
In other words if the slope of the line is m then then slope of the perpendicular line is
The reciprocal of 3 is
Hence, negative reciprocal of 3 is
Therefore, the slope of perpendicular line is -1/3
C is the correct option.
Answer:
(5, - 9)
Step-by-step explanation:
Given
f(x) = (x - 8)(x - 2) ← in factored form
Find the zeros by equating f(x) to zero, that is
(x - 8)(x - 2) = 0
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x - 2 = 0 ⇒ x = 2
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, hence
=
= 5
Substitute x = 5 into f(x) for corresponding y- coordinate
f(5) = (5 - 8)(5 - 2) = (- 3)(3) = - 9
vertex = (5, - 9)