Equations Of Lines Quiz! Math Trivia
What do you understand with a linear equation? A linear equation is a calculation whose graph is a line. Equations containing one or two variables can be graphed on any x_y coordinate plane. If a point lies on the equation graph, its coordinates render the equation a true statement. If a coordinate of a point makes an equation a true statement, then the point lies in the equation's graph. You simply must take this excellent quiz.
- 1.
What is the equation of a line with a slope of 8 and a y-intercept of (0, -2)?
- A.
Y = -2x + 8
- B.
Y = 8x - 2
- C.
Y = -16x
- D.
Y = 1/8x - 2
Correct Answer
B. Y = 8x - 2Explanation
The equation of a line is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is given as 8 and the y-intercept is (0, -2). Therefore, the equation of the line can be written as y = 8x - 2. This equation represents a line with a slope of 8 and a y-intercept of -2.Rate this question:
-
- 2.
What is the slope of the given line: y = 2/3x + 5
- A.
2/3
- B.
5
Correct Answer
A. 2/3Explanation
The slope of a line represents the rate at which the line is ascending or descending. In the equation y = 2/3x + 5, the coefficient of x is 2/3, which indicates that for every 1 unit increase in x, the corresponding increase in y is 2/3 units. Therefore, the slope of the given line is 2/3.Rate this question:
-
- 3.
What is the slope of the line with the equation y = -4x + 9?
- A.
9
- B.
1/4
- C.
-4
- D.
1/9
- E.
Cannot be determined
Correct Answer
C. -4Explanation
The slope of a line is determined by the coefficient of the x-term in the equation of the line. In this case, the equation is y = -4x + 9. The coefficient of the x-term is -4, which means that the slope of the line is -4.Rate this question:
-
- 4.
What is the y-intercept of the line with equation y = 1/5x + 2?
- A.
(0, 1)
- B.
(0, 5)
- C.
(0, 2)
- D.
(0, -2)
- E.
Cannot be determined
Correct Answer
C. (0, 2)Explanation
The y-intercept of a line is the point where the line crosses the y-axis. In the equation y = 1/5x + 2, the y-intercept can be found by setting x = 0. When x = 0, the equation becomes y = 2. Therefore, the y-intercept is the point (0, 2).Rate this question:
-
- 5.
What is the y-intercept of the line with equation y = -5x + 6?
- A.
(0, -6)
- B.
(0, 6)
- C.
(0, 5)
- D.
(0, -5)
- E.
Cannot be determined
Correct Answer
B. (0, 6)Explanation
The y-intercept of a line is the point where the line intersects the y-axis. In the equation y = -5x + 6, the y-intercept is the constant term, which is 6. Therefore, the y-intercept of the line is (0, 6).Rate this question:
-
- 6.
Which equation is parallel to y = 3/4x + 5?
- A.
Y = 4/3x + 1
- B.
Y = -4/3x + 1
- C.
Y = 3/4x + 1
- D.
Y = -3/4x + 1
- E.
Y = 8x + 5
Correct Answer
C. Y = 3/4x + 1Explanation
The equation y = 3/4x + 1 is parallel to y = 3/4x + 5 because they have the same slope of 3/4. The only difference is that the y-intercept is different, with y = 3/4x + 1 having a y-intercept of 1 instead of 5.Rate this question:
-
- 7.
Which of the following is an equation of a line perpendicular to y = 3/4x + 5?
- A.
Y = 4/3x + 1
- B.
Y = -4/3x + 1
- C.
Y = 3/4x + 1
- D.
Y = -3/4x + 1
- E.
Y = 8x + 5
Correct Answer
B. Y = -4/3x + 1Explanation
The given equation is in slope-intercept form, y = mx + b, where m is the slope of the line. The slope of the given line is 3/4. A line perpendicular to this line will have a negative reciprocal slope. The negative reciprocal of 3/4 is -4/3. Therefore, the equation y = -4/3x + 1 represents a line that is perpendicular to the given line y = 3/4x + 5.Rate this question:
-
- 8.
What is the equation of the line passing through (2, 3) and (4, 5)?
- A.
Y = -x + 1
- B.
Y = x + 1
- C.
Y = 2x + 1
- D.
Y = -2x + 1
- E.
Cannot be determined
Correct Answer
B. Y = x + 1Explanation
The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the slope, we use the formula m = (y₂ - y₁) / (x₂ - x₁). Plugging in the given points (2, 3) and (4, 5), we get m = (5 - 3) / (4 - 2) = 2 / 2 = 1.
Now that we have the slope, we can substitute it into the slope-intercept form and choose any of the given points to find the y-intercept. Using (2, 3), we get 3 = 1(2) + b, which gives us b = 1.
Therefore, the equation of the line passing through (2, 3) and (4, 5) is y = x + 1.Rate this question:
-
- 9.
What is the equation of the line passing through (3, 5) and (-1, -3)?
- A.
Y = -2x + 11
- B.
Y = -2x - 5
- C.
Y = 4x - 7
- D.
Y = 2x - 1
- E.
Y = 2x + 1
Correct Answer
D. Y = 2x - 1Explanation
The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By calculating the slope between the given points, it can be determined that the slope is 2. Plugging in the coordinates of one of the points, (3, 5), into the slope-intercept form, the equation becomes y = 2x - 1. Therefore, the correct answer is y = 2x - 1.Rate this question:
-
- 10.
What is the equation of the line passing through (0, 4) and (3, 6)?
- A.
Y = 2/3x + 4
- B.
Y = -2/3x + 4
- C.
Y = 3/2x + 4
- D.
Y = -3/2x + 1.5
- E.
Cannot be determined
Correct Answer
A. Y = 2/3x + 4Explanation
The equation of a line can be determined using the formula y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this case, the line passes through the points (0, 4) and (3, 6). To find the slope, we can use the formula (y2 - y1) / (x2 - x1), which gives us (6 - 4) / (3 - 0) = 2/3. Plugging this slope into the equation y = mx + b and substituting one of the given points, we get 4 = (2/3)(0) + b. Solving for b, we find that b = 4. Therefore, the equation of the line is y = 2/3x + 4.Rate this question:
-
- 11.
What is the equation of the line passing through (4, 6) and (4, -2)?
- A.
X = 4
- B.
Y = 8
- C.
Y = -8
- D.
Cannot be determined
Correct Answer
A. X = 4Explanation
The equation of a line passing through two points (x₁, y₁) and (x₂, y₂) can be determined using the formula (y - y₁) = (y₂ - y₁) / (x₂ - x₁) * (x - x₁). In this case, the two points given are (4, 6) and (4, -2). Since the x-coordinate of both points is the same, x = 4, the equation of the line passing through these points is x = 4.Rate this question:
-
- 12.
What is the equation of the line passing through (3, 5) and (2, 5)?
- A.
X = 1
- B.
X = -1
- C.
Y = 5
- D.
Cannot be determined
Correct Answer
C. Y = 5Explanation
The equation of a line passing through two points can be found using the slope-intercept form, y = mx + b. In this case, both points have the same y-coordinate, which means the line is horizontal. Therefore, the slope (m) is 0. Plugging the coordinates (3, 5) into the equation, we get 5 = 0(3) + b. Solving for b, we find that b = 5. So the equation of the line passing through (3, 5) and (2, 5) is y = 5.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Mar 22, 2023Quiz Edited by
ProProfs Editorial Team -
May 16, 2010Quiz Created by
Annacabral
- Arithmetic Quizzes
- Calculus Quizzes
- Data Handling Quizzes
- Decimal Quizzes
- Discrete Mathematics Quizzes
- Fraction Quizzes
- Function Quizzes
- Geometry Quizzes
- Graph Quizzes
- Measurement Quizzes
- Number Quizzes
- Percentage Quizzes
- Place Value Quizzes
- Probability Quizzes
- Problem Solving Quizzes
- Ratio Quizzes
- Shape Quizzes
- Statistics Quizzes
- Trigonometry Quizzes
Back to top