Coordinate Algebra EOC Review

Given points P(11, 2) and Q(–13, –5), what are the coordinates of the point on directed line segment PQ} that partitions PQ} in the ratio 3:2?

What is the area of the triangle?

• 12 square units

• 24 square units

Which function can be used to model the data in this table?

• f(x) = 3x

• f(x) = 2x -1

The function f(x) = 3x – 9 is shifted 2 units up. Which equation correctly describes the new function?

• g(x) = 6x - 9

• g(x) = 3(x+2)-9

• g(x) = 3x - 7

• g(x) = 6x - 18

What is the image of point R after a counterclockwise rotation of 270 degrees about the origin?

• (6, -3)

• (-3, 6)

• (-6, 3)

• (3, -6)

Which equation shows 6(x + 4) = 2( y + 5) solved for y?

• y = x + 3

• y = x + 5

• y = 3x + 7

• y = 3x + 17

Which graph represents x > 3?

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A regular pentagon is centered about the origin and has a vertex at (0, 4).

Which transformation maps the pentagon to itself?

• a reflection across line m

• a reflection across the x-axis

• a clockwise rotation of 100° about the origin

• a clockwise rotation of 144° about the origin

A scientist studied the relationship between the number of trees, x, per acre and the number of birds, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y = 4 + 6x for the regression line. What is the meaning of the slope and y-intercept of this regression line?

• The slope is 6. This means that the average number of birds per acre in an area with no trees is 6. The y-intercept is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre.

• The slope is 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre. The y-intercept is 6. This means that the average number of birds per acre in an area with no trees is 6.

• The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. This means that the average number of birds per acre in an area with no trees is 4.

• The slope is 4. This means that the average number of birds per acre in an area with no trees is 4. The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre.