PARCC Graph 2 — Questions and Answers
Question 1: On a coordinate plane, what is the x-coordinate of the point where a line crosses the x-axis called?
- The x-intercept (Correct answer)
- The y-intercept
- The slope
- The origin
Correct answer: The x-intercept
A line crosses the x-axis at its x-intercept, where y equals 0.
Question 2: A line passes through (0, 4) and has a slope of 2. What is its equation in slope-intercept form?
- y = 2x + 4 (Correct answer)
- y = 4x + 2
- y = 2x - 4
- y = x + 4
Correct answer: y = 2x + 4
Slope-intercept form is y = mx + b, so m = 2 and b = 4 gives y = 2x + 4.
Question 3: What is the slope of a horizontal line?
- 0 (Correct answer)
- 1
- Undefined
- -1
Correct answer: 0
A horizontal line has no vertical change, so its slope is 0.
Question 4: Which quadrant contains the point (-3, -5)?
- Quadrant III (Correct answer)
- Quadrant II
- Quadrant IV
- Quadrant I
Correct answer: Quadrant III
Both coordinates are negative, which places the point in Quadrant III.
Question 5: What is the slope of the line through points (1, 2) and (3, 8)?
- 3 (Correct answer)
- 2
- 6
- 1/3
Correct answer: 3
Slope equals (8 - 2)/(3 - 1) = 6/2 = 3.
Question 6: A vertical line passes through x = 5. What is its slope?
- Undefined (Correct answer)
- 0
- 5
- 1
Correct answer: Undefined
A vertical line has no horizontal change, making its slope undefined.
Question 7: What are the coordinates of the origin on a coordinate plane?
- (0, 0) (Correct answer)
- (1, 1)
- (0, 1)
- (1, 0)
Correct answer: (0, 0)
The origin is where the x-axis and y-axis intersect at (0, 0).
On a coordinate plane, what is the x-coordinate of the point where a line crosses the x-axis called?