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Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct—if you don't, review that part of the lesson.
Which set of ordered pairs lies along the same vertical line?
- \( (5, - 3) \) and \( ( - 5,\ 19) \)
- \( ( - 5,\ 19) \) and \( ( - 5,\ 3) \)
- \( ( - 3,\ 19) \) and \( ( - 5,\ 5) \)
- \( (0,\ 0) \) and \( ( - 5,\ 5) \)
Look at the \( x \)-coordinates. If the ordered pairs were along the same vertical line, then these coordinates would be identical.
When a set of ordered pairs lies along the same vertical line, they have identical \( x \)-coordinates.
Look at the \( x \)-coordinates. If the ordered pairs were along the same vertical line, then these coordinates would be identical.
Look at the \( x \)-coordinates. If the ordered pairs were along the same vertical line, then these coordinates would be identical.
Which is NOT true about a horizontal line?
- The coordinates of all the ordered pairs that lie along a horizontal line have identical \( x \)-coordinates.
- A horizontal line has a slope value of 0.
- The graph of the line does not rise or fall as you read it from left to right.
- It is a line that is perfectly flat.
When ordered pairs lie along the same horizontal line, they all have identical \( y \)-coordinates.
All horizontal lines have a slope value of 0.
Horizontal lines do not rise or fall as you read them from left to right.
Horizontal lines are perfectly flat.
Is the slope of Line A positive, negative, 0, or undefined?
Two lines on the coordinate plane. One is a red line labelled A that runs up and down. The other is a blue line labelled B that is perfectly flat as you read it from left to right.
- positive
- negative
- undefined
- 0
When the slope of a line is positive, the line increases as you read it from left to right.
When the slope of a line is negative, the line decreases as you read it from left to right.
The slope of every vertical line is undefined.
When a line is horizontal, its slope value is 0.
Which is the slope value of the horizontal line that passes through the ordered pairs \( ( - 1, - 3) \) and \( (8, - 3) \)?
- \( m = - 1 \)
- \( m = \frac{6}{7} \)
- \( m = 0 \)
- The slope is undefined.
Be sure you correctly substitute the values into the slope formula, \( m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \).
Be sure you correctly substitute the values into the slope formula, \( m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \).
When ordered pairs have identical \( y \)-coordinates, then they lay along the same horizontal line. \( ( - 1, - 3)\left( 8, - 3 \right) \) (\( x_{1},\ y_{1}) \) (\( x_{2},\ y_{2}) \) \( m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 3 - ( - 3)}{8 - ( - 1)} = \frac{- 3 + 3}{8 + 1} = \frac{0}{9} = 0 \)
This is only true when the line is vertical.
Which is another name for the steepness of a line?
- \( y \)-coordinate
- Change in the rise
- Origin
- Slope
The \( y \)-coordinate is the second number listed in an ordered pair.
The change in the rise of a line is the numerator of the slope formula.
The origin is the name for the ordered pair (0, 0)
The steepness of a line is its slope.
Summary
Questions answered correctly:
Questions answered incorrectly:
