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..
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