Which of the following could be the x-intercept and y-intercept of a line that is perpendicular to the line 3x + 6y = 0 ?
Correct answer: B. (3, 0) and (0, -6)
- A. (-6, 0) and (0, 3)
- B. (3, 0) and (0, -6)
- C. (3, 0) and (0, 6)
- D. (6, 0) and (0, 3)
Explanation
Explanation:The above equation can be arranged as the straight line equation y=mx+cCoordinates forming the line are (-3,6) and the line passes from origin y intercept=zero Y= -3x/6 The gradient (m)=-3/6= -0.5perpendicular = -1 x 1/-0.5 = 2The trial and error method can be used to see what set of coordinates gives the gradient = 2A. (-6, 0) and (0, 3) =0.5B. (3, 0) and (0, -6) =2C. (3, 0) and (0, 6) = -2D. (6, 0) and (0, 3) = -0.5Hence option B is the correct answer..
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
625 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Quantitative Reasoning questions
7, 12, 22, 42, 82 Which of the following gives a rule for finding each term in the sequence after the first?
What is the diameter of a circle whose area is 16π?
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
If f(x) = -x + 7 and g(x) = 2x + 1, what is the value of g(f(2)) ?
The cost of two dozen apples is $3.60. At this rate, what is the cost of 10 apples?
A total of 300 tickets were sold for a performance of a school play. The ticket prices were $5 for each adult and $3 for each child, and the total revenue from tickets was $1,400. Solving which of the following systems of equations would yield the number of adult tickets sold, a, and the number of children's tickets sold, c?