6th Grade Coordinate Plane & Linear Equations Quest

A park is located at point (3, 4) on a coordinate plane. If a playground is built at point (3, 0), how far is the playground from the park?

• 4

• 3

• 2

• 5

A store is located at point (-2, 5) and a library is at point (2, 5). What is the distance between the store and the library along the x-axis?

• 2

• 4

• 8

• 6

A line passes through the points (1, 2) and (4, 5). Write the equation of the line in slope-intercept form and identify its slope.

• y = -x + 3; slope = -1

• y = 3x - 1; slope = 3

• y = 2x + 1; slope = 2

• y = x + 1; slope = 1

A farmer has a rectangular field with corners at (0, 0), (0, 6), (8, 0), and (8, 6). What is the area of the field?

• 36

• 60

• 24

• 48

A delivery truck starts at the origin (0, 0) and travels to point (5, 5). If it then moves to point (5, 2), what is the total distance traveled?

• 5√2 + 3

• 5√2 + 5

• 10

• 5 + 5

A school is located at (4, -3) and a community center is at (-1, -3). If a student walks from the school to the community center, how many units does the student walk?

• 10 units

• 5 units

• 7 units

• 3 units

A line has a slope of 2 and passes through the point (1, 1). What is the equation of the line?

• y = x + 2

• y = 2x - 1

• y = -2x + 3

• y = 2x + 1

A bike path runs from point (0, 0) to point (6, 3). What is the slope of the bike path?

• 1/2

• 1

• 2/3

• 3/2

A point is located at (2, 3) in the first quadrant. If it moves to (2, -3), which quadrant does it move to?

• Third quadrant

• Origin

• Second quadrant

• Fourth quadrant

A point on a line has coordinates (x, 4) and the line's equation is y = 2x - 2. What is the value of x?

• 1

• 5

• 3

• 2