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

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Quizzes Created: 14 | Total Attempts: 2,404

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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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).

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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.

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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.

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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.

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16.

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