Coordinate Geometry Practice Tests

These Grade 9 Math practice tests cover the coordinate plane, quadrants, axes, ordered pairs, distance, midpoint, slope, equations of lines, intercepts, parallel and perpendicular lines, reflections, rotations, translations, dilations, and coordinate-plane geometry applications.

Skills covered

  • Locating points and identifying quadrants, axes, and the origin
  • Finding distance, midpoint, slope, intercepts, and equations of lines
  • Recognizing parallel and perpendicular relationships
  • Applying translations, reflections, rotations, dilations, and scale factors
  • Using coordinates to solve perimeter, area, triangle, rectangle, and rate problems

How to use these practice tests

Read each ordered pair as (x, y), preserve positive and negative signs, choose the appropriate coordinate formula, and check the result on a graph or in the original geometric context.

For more Grade 9 Math practice, return to the Grade 9 Math category.

3. Test

Grade 9 Coordinate Geometry Practice Tests

Practice Grade 9 Math questions about the coordinate plane, quadrants, distance, midpoint, slope, lines, transformations, dilations, and coordinate geometry applications.

Choose the best answer. Read coordinates in order, apply formulas carefully, preserve signs, and connect algebraic rules to geometric positions and measurements.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is the slope through (1, 2) and (3, 6)?

Please select an answer first.

Correct answer: A

The correct answer is 2.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The slope is (6 - 2)/(3 - 1) = 4/2 = 2.
  3. Check the position or measurement: The correct choice is 2.

The slope is (6 - 2)/(3 - 1) = 4/2 = 2.

2. QuestionMultiple choice

What is the slope through (-2, 5) and (4, -1)?

Please select an answer first.

Correct answer: B

The correct answer is -1.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The slope is (-1 - 5)/(4 - (-2)) = -6/6 = -1.
  3. Check the position or measurement: The correct choice is -1.

The slope is (-1 - 5)/(4 - (-2)) = -6/6 = -1.

3. QuestionMultiple choice

What is the slope of a horizontal line?

Please select an answer first.

Correct answer: C

The correct answer is 0.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: A horizontal line has zero vertical change, so its slope is 0.
  3. Check the position or measurement: The correct choice is 0.

A horizontal line has zero vertical change, so its slope is 0.

4. QuestionMultiple choice

What is the slope of a vertical line?

Please select an answer first.

Correct answer: D

The correct answer is Undefined..

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: A vertical line has zero horizontal change, so the slope formula would divide by zero.
  3. Check the position or measurement: The correct choice is Undefined..

A vertical line has zero horizontal change, so the slope formula would divide by zero.

5. QuestionMultiple choice

Which equation has slope 3 and y-intercept -2?

Please select an answer first.

Correct answer: A

The correct answer is y=3x−2y=3x-2.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: In slope-intercept form y = mx + b, m = 3 and b = -2.
  3. Check the position or measurement: The correct choice is y=3x−2y=3x-2.

In slope-intercept form y = mx + b, m = 3 and b = -2.

6. QuestionMultiple choice

What is the slope of y=−12x+4y=-\frac{1}{2}x+4?

Please select an answer first.

Correct answer: B

The correct answer is −12-\frac{1}{2}.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The coefficient of x in slope-intercept form is the slope.
  3. Check the position or measurement: The correct choice is −12-\frac{1}{2}.

The coefficient of x in slope-intercept form is the slope.

7. QuestionMultiple choice

What is the equation of the line through (0, 5) and (2, 9)?

Please select an answer first.

Correct answer: C

The correct answer is y=2x+5y=2x+5.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The slope is (9 - 5)/(2 - 0) = 2 and the y-intercept is 5.
  3. Check the position or measurement: The correct choice is y=2x+5y=2x+5.

The slope is (9 - 5)/(2 - 0) = 2 and the y-intercept is 5.

8. QuestionMultiple choice

A line parallel to y=4x+1y=4x+1 has what slope?

Please select an answer first.

Correct answer: D

The correct answer is 4.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Nonvertical parallel lines have equal slopes.
  3. Check the position or measurement: The correct choice is 4.

Nonvertical parallel lines have equal slopes.

9. QuestionMultiple choice

What is the slope of a line perpendicular to y=2x+3y=2x+3?

Please select an answer first.

Correct answer: A

The correct answer is −12-\frac{1}{2}.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Perpendicular nonzero slopes are negative reciprocals, so the slope is -1/2.
  3. Check the position or measurement: The correct choice is −12-\frac{1}{2}.

Perpendicular nonzero slopes are negative reciprocals, so the slope is -1/2.

10. QuestionMultiple choice

Which equation passes through (3, 1) with slope -2?

Please select an answer first.

Correct answer: B

The correct answer is y=−2x+7y=-2x+7.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Use point-slope form y - 1 = -2(x - 3), which simplifies to y = -2x + 7.
  3. Check the position or measurement: The correct choice is y=−2x+7y=-2x+7.

Use point-slope form y - 1 = -2(x - 3), which simplifies to y = -2x + 7.