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Area of Bounded Regions · Question 8 of 115

At which points does the line x + y = 6 meet the lines y = 1 and y = 4?

Question 8

EasyOriginal question

A region RR lies in the first quadrant. It is bounded by the yy-axis, the lines y=1y = 1 and y=4y = 4, and the line x+y=6x + y = 6.

At which points does the line x+y=6x + y = 6 meet the lines y=1y = 1 and y=4y = 4?

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. On y=1y = 1: x=6−1=5x = 6 - 1 = 5. On y=4y = 4: x=6−4=2x = 6 - 4 = 2.

  2. So the slanting side runs from (5,1)(5, 1) to (2,4)(2, 4).

Worth noting

(1,5)(1, 5) and (4,2)(4, 2) swap the coordinates: a point on y=1y = 1 has yy-coordinate 1.

Concept
Where the boundary lines meet
Typical time
90 s
Your time
—
The rule this testsRegions with lines
Practise this chapter →

Ten questions from Area of Bounded Regions, at your own pace.

Practise this chapter →

Ten questions from Area of Bounded Regions, at your own pace.