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24 Aug 2018, 00:21
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A
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Question Stats:
79% (01:08) correct
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Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
A. -3
B. -2
C. 0
D. 2
E. 3
07 Apr 2020, 06:57
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Bunuel
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
A. -3
B. -2
C. 0
D. 2
E. 3
Key concept #1: All points on the x-axis have 0 as their y-coordinate
Key concept #2: If a point is on a line, then the x- and y-coordinates of that point must satisfy the equation of that line
Application of key concept #1: Since (a,b) lies on the x-axis, we know that b = 0, which means the point is (a, 0)
Application of key concept #2: If (a, 0) lies on the line, then it must be true that: 3(0) = 2a + 6
Simplify: 0 = 2a + 6
Subtract 6 from both sides: -6 = 2a
Solve: a = -3
Answer: A
Cheers,
Brent
General Discussion
24 Aug 2018, 00:28
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Bunuel
Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?
A. -3
B. -2
C. 0
D. 2
E. 3
A. -3
B. -2
C. 0
D. 2
E. 3
Intersection point of line k with x-axis at point (a,b). At x-axis y=0
So (a,b)=(a,0)
Given, 3y=2x+6
Or, 0=2a+6
Or, a=-3
Ans. (A)
