# Equations Of Lines Quiz! Math Trivia

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Annacabral
A
Annacabral
Community Contributor
Quizzes Created: 29 | Total Attempts: 18,743
Questions: 12 | Attempts: 2,753

Settings

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

B. Y = 8x - 2
Explanation
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

A. 2/3
Explanation
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

C. -4
Explanation
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

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

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

C. Y = 3/4x + 1
Explanation
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

B. Y = -4/3x + 1
Explanation
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

B. Y = x + 1
Explanation
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

D. Y = 2x - 1
Explanation
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

A. Y = 2/3x + 4
Explanation
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

A. X = 4
Explanation
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

C. Y = 5
Explanation
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:

Related Topics