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In the xy coordinate plane, lines l1 and l2 intersect at (2,
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21 Oct 2019, 00:58
21 Oct 2019, 00:58
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Question Stats:
81% (01:13) correct
18% (03:55) wrong based on 22 sessions
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In the XY coordinate plane, lines l-1 and l-2 intersect at (2, 4). If the equation of l-1 is y = px + 16 and the equation of l-2 is y = mx + p, where m and p are constants, what is the value of m?
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Location: United States
GMAT 1: 770 Q51 V44
GRE 1: Q169 V168
WE:Education (Education)
Re: In the xy coordinate plane, lines l1 and l2 intersect at (2,
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21 Oct 2019, 16:15
21 Oct 2019, 16:15
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Expert Reply
Quote:
In the XY coordinate plane, lines l-1 and l-2 intersect at (2, 4). If the equation of l-1 is y = px + 16 and the equation of l-2 is y = mx + p, where m and p are constants, what is the value of m?
Plug the coordinates for the point of intersection into each equation :
4 = 2p + 16
4 = 2m + p
Solve the first equation for p by subtracting 16 and dividing by 2 to find that p = -6.
Then, plug -6 into the second equation as p before solving for m by adding 6 to each side and then dividing by 2.
m = 5.
Re: In the xy coordinate plane, lines l1 and l2 intersect at (2,
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15 Dec 2021, 03:22
15 Dec 2021, 03:22
Expert Reply
