2023 AMC 8 Problems/Problem 7: Difference between revisions
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==Problem== | |||
A rectangle, with sides parallel to the <math>x</math>-axis and <math>y</math>-axis, has opposite vertices located at <math>(15, 3)</math> and <math>(16, 5)</math>. A line drawn through points <math>A(0, 0)</math> and <math>B(3, 1)</math>. Another line is drawn through points <math>C(0, 10)</math> and <math>D(2, 9)</math>. How many points on the rectangle lie on at least one of the two lines? | |||
<math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 1 \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ 3 \qquad \textbf{(E)}\ 4</math> | |||
==Solution== | |||
The answer is <math>\textbf{B}.</math> | |||
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Revision as of 00:29, 25 January 2023
Problem
A rectangle, with sides parallel to the
-axis and
-axis, has opposite vertices located at
and
. A line drawn through points
and
. Another line is drawn through points
and
. How many points on the rectangle lie on at least one of the two lines?
Solution
The answer is