Carcass wrote:
In the xy-plane, the points (a, 0) and (0, b) are on the line whose equation is \(y = \frac{1}{2} x + 10\)
Quantity A |
Quantity B |
a |
b |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Since the points (a, 0) and (0, b) lie
ON the line \(y = \frac{1}{2} x + 10\), we know that the coordinates of those point must
satisfy the equation of the lineThat is, x = a and y = 0 satisfies the equation \(y = \frac{1}{2} x + 10\)
And x = 0 and y = b satisfies the equation \(y = \frac{1}{2} x + 10\)
Let's test each of these.
(a, 0)replace x with a and y with 0 to get: \(0 = \frac{1}{2} a + 10\)
Subtract 10 from both sides: \(-10 = \frac{1}{2} a\)
Divide both sides by 1/2 to get: \(-20 = a\)
(0, b)replace x with 0 and y with b to get: \(b = \frac{1}{2}(0) + 10\)
Simplify: \(b = 10\)
We get:
QUANTITY A: -20
QUANTITY B: 10
Answer: B
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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