REGENTS-ALGEBRA Linear Equations & Functions 1 — Questions and Answers
Question 1: What is the slope of the line represented by the equation y = 3x - 7?
- -7
- 3 (Correct answer)
- -3
- 7
Correct answer: 3
In slope-intercept form y = mx + b, the coefficient of x is the slope, which is 3.
Question 2: Which equation represents a line with a slope of -2 and a y-intercept of 5?
- y = 5x - 2
- y = 2x + 5
- y = -2x + 5 (Correct answer)
- y = -2x - 5
Correct answer: y = -2x + 5
Slope-intercept form is y = mx + b where m = -2 and b = 5, giving y = -2x + 5.
Question 3: What is the y-intercept of the line 4x + 2y = 12?
- 3
- 4
- 6 (Correct answer)
- 12
Correct answer: 6
Setting x = 0 gives 2y = 12, so y = 6; the y-intercept is 6.
Question 4: The slope of the line passing through points (2, 5) and (6, 13) is:
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 5: Which of the following lines is parallel to y = 4x + 1?
- y = -4x + 1
- y = 4x - 3 (Correct answer)
- y = (1/4)x + 1
- y = -4x - 3
Correct answer: y = 4x - 3
Parallel lines have the same slope; y = 4x - 3 has slope 4, same as the original line.
Question 6: What is the x-intercept of the line y = 2x - 8?
- x = -4
- x = 4 (Correct answer)
- x = -8
- x = 8
Correct answer: x = 4
Setting y = 0 gives 0 = 2x - 8, so x = 4.
Question 7: A line has slope 0. Which statement best describes it?
- The line is vertical.
- The line rises steeply.
- The line is horizontal. (Correct answer)
- The line has an undefined slope.
Correct answer: The line is horizontal.
A slope of 0 means no rise for any run, resulting in a horizontal line.
REGENTS-ALGEBRA Linear Equations & Functions 1
What is the slope of the line represented by the equation y = 3x - 7?