What is the formula for slope?

Y-intercept times X-intercept divided by pie

The opposite of the X-intercept

Linear Functions Pre-test Questions

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Symphony1234

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Questions: 5 | Attempts: 644 | Updated: Mar 20, 2022

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This is a basic assessment on linear functions. It is designed as a basic tool to find the skill level of students in this area.

Questions and Answers

1.

What is the formula for slope?
- A.
  
  Rise over run
- B.
  
  Run over rise
- C.
  
  X over Y
- D.
  
  Y-intercept times X-intercept divided by pie
- E.
  
  The opposite of the X-intercept
Correct Answer
A. Rise over run

Explanation
The formula for slope is rise over run. This means that to calculate the slope of a line, you divide the vertical change (rise) by the horizontal change (run) between any two points on the line. The rise over run formula allows us to quantify the steepness or incline of a line and is a fundamental concept in mathematics and physics.

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2.

What formula describes the line presented to you on the board? (in slope intercept form)
- A.
  
  Y=2x+6
- B.
  
  Y=x+3
- C.
  
  2x+3y=17
Correct Answer
B. Y=x+3

Explanation
The correct answer is y=x+3. This is because the equation is already in slope-intercept form, which is y=mx+b, where m represents the slope and b represents the y-intercept. In this case, the slope is 1 (since the coefficient of x is 1) and the y-intercept is 3. Therefore, the equation y=x+3 describes the line presented on the board.

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2
3.

What is '2x+3y=18' in slope intercept form?
- A.
  
  Y=-2x+18
- B.
  
  Y=-(2/3)x+18
- C.
  
  Y=-(2/3)x+6
- D.
  
  Y=2x+6
- E.
  
  Y=(2/3)x+18
Correct Answer
C. Y=-(2/3)x+6

Explanation
The equation '2x+3y=18' can be rearranged into slope-intercept form, which is y=mx+b, where m represents the slope and b represents the y-intercept. By isolating the y-term, we can rewrite the equation as y=-(2/3)x+6. This means that the slope of the line is -2/3 and the y-intercept is 6.

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4.

The form of a function that is written as ax+by=c is __________ form.

Correct Answer
standard

Explanation
The form of a function that is written as ax+by=c is called the standard form. In this form, the coefficients of x and y are represented by a and b respectively, and c is the constant term. Standard form is often used in mathematics to represent linear equations in two variables.

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5.

Answer the question that you are given.

Linear Functions Pre-test Questions

What is the formula for slope?

What formula describes the line presented to you on the board? (in slope intercept form)

What is '2x+3y=18' in slope intercept form?

The form of a function that is written as ax+by=c is __________ form.

Answer the question that you are given.