PARCC Graph 3 — Questions and Answers
Question 1: Two lines are parallel. What must be true about their slopes?
- They are equal (Correct answer)
- They are opposite reciprocals
- Their product is 1
- One is zero
Correct answer: They are equal
Parallel lines never intersect because they share the same slope.
Question 2: A line has slope 3. What is the slope of a line perpendicular to it?
- -1/3 (Correct answer)
- 3
- 1/3
- -3
Correct answer: -1/3
Perpendicular slopes are negative reciprocals, so the slope is -1/3.
Question 3: In the equation y = -2x + 6, what does the 6 represent on the graph?
- The y-intercept (Correct answer)
- The slope
- The x-intercept
- The origin
Correct answer: The y-intercept
In y = mx + b, the constant b is the y-intercept, here 6.
Question 4: Which point lies on the line y = x - 4?
- (6, 2) (Correct answer)
- (2, 6)
- (0, 4)
- (4, 4)
Correct answer: (6, 2)
Substituting x = 6 gives y = 6 - 4 = 2, so (6, 2) is on the line.
Question 5: A graph shows a line falling from left to right. What is true about its slope?
- It is negative (Correct answer)
- It is positive
- It is zero
- It is undefined
Correct answer: It is negative
A line that decreases from left to right has a negative slope.
Question 6: What is the distance between the points (0, 0) and (3, 4)?
- 5 (Correct answer)
- 7
- 12
- 4
Correct answer: 5
Using the distance formula, the square root of (3² + 4²) equals 5.
Question 7: If a line has slope 0 and passes through (0, 3), what is its equation?
- y = 3 (Correct answer)
- x = 3
- y = 3x
- y = x + 3
Correct answer: y = 3
A slope of 0 produces a horizontal line, here y = 3.
PARCC Graph 3
Two lines are parallel.
What must be true about their slopes?