Coordinate Geometry Quiz

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WellBalancedEmerald
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5 Questions

  1. What is the value of $3x - 1$ when $x > 0$, if the distance between the points $A(x + 4, 2x)$ and $B(x, -1)$ is 5?

C) 5

  1. If $M(x, 5)$ is the midpoint of the line segment connecting the points $A(-2, y)$ and $B(3, 4)$, what is the value of $x + y$?

A) 13/2

  1. If the points $(-2, 6)$ and $(a, b)$ are the endpoints of the line segment whose midpoint is $(-3, 4)$, what is the value of $3a - 4b$?

B) -25

  1. If $x < 0$, what is the distance between the points $(4x, 3x)$ and $(-8x, -2x)$?

B) 13x

  1. If the distance between the points $(-x - 2y, y - 4x)$ and $(-x, 5y - 4x)$, where $y > 0$, is $\sqrt{5}$, what is the value of $y$?

A) 1/2

Test your knowledge of coordinate geometry with this quiz. Solve problems involving distance between points, midpoint of a line segment, and coordinate pairs to find the value of variables.

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