Algebra 1 - 6.2 Homework, Part 1 (Slope-intercept Form)

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 Paddocka

Paddocka

Community Contributor

Quizzes Created: 3 | Total Attempts: 347

Questions: 16 | Attempts: 125 | 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 1 - 6.2 Homework, Part 1 (Slope-intercept Form) - Quiz

Determine the slope and y-intercept of a line; write the equation for a line in slope-intercept form given the slope and the y-intercept.

Questions and Answers

1.

Find the slope and y-intercept of each equation.
- A.
  
  M = 1/2, b = 2
- B.
  
  M = -1/2, b = 2
- C.
  
  M = 1/2, b = -2
- D.
  
  M = -1/2, b = -2
Correct Answer
B. M = -1/2, b = 2

Explanation
The slope of a line represents the rate of change of the line, or how steep it is. In this case, the slope is -1/2, which means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 1/2 unit. The y-intercept, represented by the variable b, is the point where the line intersects the y-axis. In this case, the y-intercept is 2, which means that the line crosses the y-axis at the point (0, 2). So, the equation of the line can be written as y = -1/2x + 2.

Rate this question:
2.

Find the slope and y-intercept of each equation.
- A.
  
  M = 5, b = 8
- B.
  
  M = -5, b = 8
- C.
  
  M = 5, b = -8
- D.
  
  M = -5, b = -8
Correct Answer
A. M = 5, b = 8

Explanation
The given answer states that the slope (m) is 5 and the y-intercept (b) is 8. In the equation of a line, the slope represents the rate of change of the line, while the y-intercept represents the point where the line intersects the y-axis. Therefore, the line represented by this equation has a slope of 5, indicating that for every unit increase in the x-coordinate, the y-coordinate increases by 5. The line intersects the y-axis at the point (0, 8), as indicated by the y-intercept value of 8.

Rate this question:
3.

Find the slope and y-intercept of each equation.
- A.
  
  M = 4, b = 0
- B.
  
  M = -4, b = 0
- C.
  
  M = 0, b = 4
- D.
  
  M = 0, b = -4
Correct Answer
B. M = -4, b = 0

Explanation
The given answer states that the slope (m) is -4 and the y-intercept (b) is 0. This means that the equation of the line can be written as y = -4x + 0, which simplifies to y = -4x. The slope of -4 indicates that the line has a negative slope, meaning it is decreasing as x increases. The y-intercept of 0 indicates that the line passes through the origin (0,0) on the y-axis.

Rate this question:
4.

Find the slope and y-intercept of each equation.
- A.
  
  M = 0.7, b = 9
- B.
  
  M = -0.7, b = 9
- C.
  
  M = 0.7, b = -9
- D.
  
  M = -0.7, b = -9
Correct Answer
D. M = -0.7, b = -9

Explanation
The given answer states that the slope (m) is -0.7 and the y-intercept (b) is -9. This means that the equation of the line can be written as y = -0.7x - 9. The negative slope indicates that the line is decreasing as x increases, and the negative y-intercept means that the line crosses the y-axis below the origin.

Rate this question:
5.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = 2/9x + 3
y=2/9x+3
y = 2x/9 + 3
y=2x/9+3
y = 2/9 x + 3

Explanation
The equation of the line is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2/9 and the y-intercept is 3. Therefore, the equation of the line is y = 2/9x + 3.

Rate this question:

4
6.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = 9/2x + 3
y=9/2x+3
y = 9x/2 + 3
y=9x/2+3
y = 9/2 x + 3

Explanation
The equation of a line is represented in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given equation y = 9/2x + 3 matches the form y = mx + b, where the slope is 9/2 and the y-intercept is 3. Therefore, the equation y = 9/2x + 3 is the correct answer.

Rate this question:

4
7.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = -1x - 6
y=-1x-6
y = -x - 6
y=-x-6

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 given equation y = -1x - 6 can be rewritten as y = -x - 6. This means that the slope is -1 and the y-intercept is -6. Therefore, the correct answer is y = -x - 6.

Rate this question:

4
8.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = 0.3x + 4
y=0.3x+4
y = .3x + 4
y=.3x+4

Explanation
The equation of a line is typically written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this case, the given equation y = 0.3x + 4 is already in the correct form. The slope of the line is 0.3 and the y-intercept is 4. Therefore, the equation of the line is y = 0.3x + 4.

Rate this question:

4
9.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = -7x + 1/3
y=-7x+1/3

Explanation
The equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given equation y = -7x + 1/3 has a slope of -7 and a y-intercept of 1/3. Therefore, the equation of the line is y = -7x + 1/3.

Rate this question:

4
10.

Write an equation of a line with the given slope and y-intercept.

Correct Answer
y = -1/4x + 5/4
y=-1/4x+5/4
y = -1x/4 + 5/4
y=-1x/4+5/4

Explanation
The equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given equation y = -1/4x + 5/4 is already in the correct form. The slope is -1/4 and the y-intercept is 5/4. Therefore, the equation of the line is y = -1/4x + 5/4.

Rate this question:

4
11.

Write the slope-intercept form of the equation for each line.

Correct Answer
y = -2/3x + 1
y=-2/3x+1
y = -2x/3 + 1
y=-2x/3+1

Explanation
The given answer options represent the slope-intercept form of the equation for a line. In the slope-intercept form, y = mx + b, "m" represents the slope of the line and "b" represents the y-intercept. In this case, the slope is -2/3 and the y-intercept is 1. Therefore, all four answer options correctly represent the equation in slope-intercept form.

Rate this question:

4
12.

Write the slope-intercept form of the equation for each line.

Correct Answer
y = 3/4x + 2
y=3/4x+2
y = 3x/4 + 2
y=3x/4+2

Explanation
The slope-intercept form of an equation for a line is y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this case, all four options are in the slope-intercept form. The equation y = 3/4x + 2 has a slope of 3/4 and a y-intercept of 2. Similarly, y=3/4x+2, y = 3x/4 + 2, and y=3x/4+2 all have the same slope and y-intercept. Therefore, all four options represent the equation of a line in slope-intercept form.

Rate this question:

4
13.

Write the slope-intercept form of the equation for each line.

Correct Answer
y = 4/2x - 2
y=4/2x-2
y = 2x - 2
y=2x-2

Explanation
The given answer provides the slope-intercept form of the equation for each line. The slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, all the equations have the same slope of 2 and the same y-intercept of -2. Therefore, all four equations represent the same line in the slope-intercept form.

Rate this question:

4
14.

Write the slope-intercept form of the equation for each line. Estimate the y-intercept to the nearest 0.5

Correct Answer
y = 2/4x + 0.5
y=2/4x+0.5
y = 1/2x + 0.5
y=1/2x+0.5

Explanation
The given answer is correct because it represents the slope-intercept form of the equation for each line. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. In all the given equations, the slope is either 2/4 or 1/2, and the y-intercept is 0.5. Therefore, the answer y = 2/4x + 0.5, y=2/4x+0.5, y = 1/2x + 0.5, y=1/2x+0.5 is correct.

Rate this question:

4
15.

Write the slope-intercept form of the equation for each line. Estimate the y-intercept to the nearest 0.5

Correct Answer
y = -2/5x + 3
y=-2/5x+3
y = -2x/5 + 3
y=-2x/5+3

Explanation
The given answer is correct. The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is -2/5 and the y-intercept is 3. Therefore, the correct answer is y = -2/5x + 3.

Rate this question:

4
16.

Write the slope-intercept form of the equation for each line. Estimate the y-intercept to the nearest 0.5

Correct Answer
y = 5/4x - 0.5
y=5/4x-0.5
y = 5x/4 - 0.5
y=5x/4-0.5

Explanation
The given equation is already in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The equation y = 5/4x - 0.5 has a slope of 5/4 and a y-intercept of -0.5. The other options are just different ways of writing the same equation.

Rate this question:

4