Algebra 1b: Unit 3 Obj 2: Find The Slope And Y Intercept

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.

Learn about Our Editorial Process

| By Vicki Barr

Vicki Barr

Community Contributor

Quizzes Created: 14 | Total Attempts: 2,251

Questions: 16 | Attempts: 88 | Updated: Mar 20, 2023

Questions

Settings

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Algebra 1b: Unit 3 Obj 2: Find The Slope And Y Intercept - Quiz

In slope intercept form, find the slope and y-intercept.

Questions and Answers

1.

What is the slope of y= -2x + 5 ?

Explanation
The slope of a linear equation is the coefficient of the x-term. In the given equation, y = -2x + 5, the coefficient of the x-term is -2. Therefore, the slope of the equation is -2.

Rate this question:

4
2.

What is the y-intercept of y= 7- 2x ?

Explanation
The y-intercept of a linear equation represents the point where the line crosses the y-axis. In the equation y = 7 - 2x, the y-intercept is the value of y when x is 0. Substituting x = 0 into the equation, we get y = 7 - 2(0) = 7. Therefore, the y-intercept is 7. The point (0,7) represents the coordinates of this y-intercept on the graph.

Rate this question:

4
3.

What variable represents slope?

Explanation
The variable "m" represents slope in mathematics. Slope is a measure of the steepness of a line and is often denoted by the letter "m". It represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. By using the variable "m", it becomes easier to calculate and understand the slope of a line in various mathematical equations and applications.

Rate this question:

4
4.

Write an equation of the line with the given slope and y-intercept slope: 1.6, y-intercept: 4
- A.
  
  Y = 1.6x + 4
- B.
- C.
  
  Y = -1.6x + 4
- D.
  
  Y = 1.6x - 4
Correct Answer
A. Y = 1.6x + 4

Explanation
The given equation is in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1.6 and the y-intercept is 4. Therefore, the equation of the line is y = 1.6x + 4.

Rate this question:
5.

Write an equation of the line that passes through each point with the given slope. (0, 9) m = 5
- A.
  
  Y = -5x + 9
- B.
  
  Y = 5x + 9
- C.
  
  Y = 5x - 9
- D.
  
  Y = 3x + 5
Correct Answer
B. Y = 5x + 9

Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given slope is 5. Since the line passes through the point (0, 9), we can substitute the values of x and y into the equation to find the y-intercept. Plugging in x = 0 and y = 9, we get 9 = 5(0) + b. Simplifying, we find that b = 9. Therefore, the equation of the line is y = 5x + 9.

Rate this question:
6.

Identify the slope of the line. y = 3x - 5

Correct Answer
3

Explanation
The slope of a line is the coefficient of the x term in the equation of the line. In this equation, y = 3x - 5, the coefficient of the x term is 3. Therefore, the slope of the line is 3.

Rate this question:

4
7.

Identify the y-intercept of the equation. y = 2/9 x?

Correct Answer
0

Explanation
The y-intercept of an equation is the value of y when x is equal to 0. In this equation, y = (2/9)x, when x is equal to 0, y will also be equal to 0. Therefore, the y-intercept of the equation y = (2/9)x is 0.

Rate this question:

4
8.

What is the formula for the Slope-intercept form of an equation?
- A.
  
  Y = bx + m
- B.
  
  Y = mb + x
- C.
  
  Y = mx + c
- D.
  
  Y = mx + b
Correct Answer
D. Y = mx + b

Explanation
The formula for the slope-intercept form of an equation is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept, which is the point where the line crosses the y-axis. This formula allows us to easily identify the slope and y-intercept of a line, making it convenient for graphing and analyzing linear equations.

Rate this question:
9.

What is the slope of this line?y = 3x + 4
- A.
  
  3
- B.
  
  -3
- C.
  
  4
- D.
  
  -4
Correct Answer
A. 3

Explanation
The slope of a line is the coefficient of the x term in the equation of the line. In this case, the equation y = 3x + 4 has a coefficient of 3 for the x term, indicating that the slope of the line is 3.

Rate this question:
10.

What is the y-intercept of this line?y = 3x + 4
- A.
  
  3
- B.
  
  -3
- C.
  
  4
- D.
  
  -4
Correct Answer
C. 4

Explanation
The y-intercept of a line is the value of y when x is equal to 0. In the given equation, y = 3x + 4, when x is 0, the equation becomes y = 3(0) + 4, which simplifies to y = 4. Therefore, the y-intercept of this line is 4.

Rate this question:
11.

What is the slope of this line?y = -5x + 2
- A.
  
  5
- B.
  
  -5
- C.
  
  2
- D.
  
  -2
Correct Answer
B. -5

Explanation
The slope of a line is determined by the coefficient of the x-term in the equation. In this case, the equation is y = -5x + 2, so the slope is -5. This means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 5.

Rate this question:
12.

What is the y-intercept of this line?y = -5x + 2
- A.
  
  5
- B.
  
  -5
- C.
  
  2
- D.
  
  -2
Correct Answer
C. 2

Explanation
The y-intercept of a line represents the point where the line intersects the y-axis. In the given equation, y = -5x + 2, the constant term 2 represents the y-intercept. This means that the line intersects the y-axis at the point (0, 2).

Rate this question:
13.

What is the slope of this line? y = 1/2x - 6
- A.
  
  1/2
- B.
  
  -1/2
- C.
  
  6
- D.
  
  -6
Correct Answer
A. 1/2

Explanation
The slope of a line is the coefficient of x in the equation of the line. In this case, the equation of the line is y = 1/2x - 6. The coefficient of x is 1/2, so the slope of the line is 1/2.

Rate this question:
14.

What is the y-intercept of this line?y = 1/2x - 6?
- A.
  
  1/2
- B.
  
  -1/2
- C.
  
  6
- D.
  
  -6
Correct Answer
D. -6

Explanation
The y-intercept of a line is the point where the line intersects the y-axis. In the equation y = 1/2x - 6, the y-intercept can be found by setting x = 0 and solving for y. When x = 0, the equation becomes y = -6. Therefore, the y-intercept of this line is -6.

Rate this question:
15.

The slope of the following line will be:y = -6x + 12
- A.
  
  Positive
- B.
  
  Negative
- C.
  
  Zero
- D.
  
  Undefined
Correct Answer
B. Negative

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 coefficient of the x-term is -6, which means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 6. This indicates a negative slope, as the line is descending from left to right.

Rate this question:
16.

Write an equation of the line with the given slope and y-intercept
- A.
- B.
- C.
- D.
Correct Answer
D.