Algebra II : Vertical and Horizontal Lines
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Example Questions
Example Question #21 : Linear Functions
Which of the following graphs exhibit a horizontal line?
The horizontal line will always have zero slope.
In the form 
The forms 
A constant is a fixed number that will not change.
The equation 
The only possible answer is:
Example Question #22 : Linear Functions
Which of the following is a horizontal line?
The horizontal lines have slopes of zero. This means that the 
The value of 
The equations that start with 
The correct answer is:
Example Question #23 : Linear Functions
Which of the following equations will represent a horizontal line?
The slope intercept form of an equation 
In order for the line to be horizontal, the slope 
Any equation in the answer choices that has an x-variable is incorrect because this either means that the equation has a existing slope, a vertical line, or it's non-linear.
The best answer is:
Example Question #24 : Linear Functions
Which of the following answers is considered a vertical line?
A vertical line has an undefined slope. This also means that the x-value is fixed for every y-value of the graph.
The slope intercept form for a linear equation is 
Any answer that has a 
The only valid answer is:
Example Question #25 : Linear Functions
Which of the following is an equation perpendicular to a horizontal line?
The horizontal line will have a slope of 
Recall that perpendicular lines have a slope that is the negative reciprocal of the original slope.
This indicates that the vertical line will have undefined slope. Vertical lines have a fixed x-value that will not change.
The answer that is perpendicular to a horizontal line cannot have a y-variable in the equation.
The equation 
The only possible answer is:
Example Question #21 : Vertical And Horizontal Lines
Which of these lines is the steepest or would be most difficult to walk up if the line represented a ramp?
Slope is defined as rise over run. So a slope of .7 (7/10) is the same as 7 units up and 10 units over. Compare this with the slope of 7 (7/1) which is 7 units up and only 1 unit over. The vertical distance is much greater than the horizontal and thus it is steeper.
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