Which of the following is the equation of a line that is perpendicular to the graph of y = 2/5x − 1?
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Answers
Answer:
Correct Question :- Which of the following is the equation of a line that is perpendicular to
the graph of y=2/5x-4?
A.y=2/5x-4
B.y=-5/2x-4
⁹
C.y=-2/5x-4
D.y=5/2x-4
Solution :
we know that,
slope of line in the form ofy = mx + c is m. when two lines are perpendicular, product of their slope is (-1).
SO,
y=2/5x-4
comparing,
mx + c = 2/5 * x - 4
→ m = 2/5 .
Step-by-step explanation:
we know that,
slope of line in the form of y = mx + c is m. when two lines are perpendicular, product of their slope is (-1).
SO,
y=2/5x-4
comparing,
→ mx + c = 2/5 * x - 4
→ m = 2/5 .
then,
slope of line perpendicular to given line=-1/ slope of given ine = - 1 / (2/5) = (- 5/2)
from options now we can see that, option (b) has slope equals to (- 5/2) .
therefore, we can conclude that, (C) * y = (- 5/2) * x
- 4 is correct answer.
ANSWER
Step-by-step explanation:
the above picture is the answer. hope it helps. as the point ofcintersection is not specified, c can be any constant.
