Horizontal and Vertical Line Graphs
Key Questions
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A horizontal has the equation
y=by=b withbb any constant number
A vertical has the equationx=cx=c withcc any constant numberA normal linear equation is mostly of the form
y=mx+by=mx+b
wheremm is the slope. In a horizontal graph, the slope is 0.
Thebb (called theyy -intercept) tells you where the graph crosses theyy -axis.For the vertical graph a similar story goes and
cc is called thexx -intercept. -
Answer:
x=0x=0 Explanation:
For any point on the Y-axis,
xx is equal to zero;
furthermore, if any point for which thexx -coordinate is equal to zero will be on the Y-axis. -
The x-axis is like a number line, isn't it? Every point on the x-axis has a y-coordinate of 0 like this: (-4,0), (3,0), (2.7, 0) and (0,0).
If all of these points have the same y-coordinate, it follows that the equation of that line must be y = 0! It would be the same idea for any horizontal line, since the slope = 0. Calculate the slope between any two of those points:
m =(0-0)/(3-(-4))0−03−(−4) using (-4,0) and (3,0).
You would write the equation now like: y = 0x + 0, or just y = 0.Think about another horizontal line that goes through the points (8,3), (0,3), (-14, 3), and (4.1, 3). Calculate the slope:
m =
(3-3)/(-14-0)3−3−14−0 using the points (0,3) and (-14,3).
The y-intercept is (0,3) and therefore the equation of that line is y = 0x + 3, or just y = 3. -
An equation of a vertical line can be written in the form
x=ax=a ,where
aa is a constant.An equation of a horizontal line can be written in the form
y=by=b ,where
bb is a constant.
I hope that this was helpful.
Questions
Graphs of Linear Equations and Functions
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Graphs in the Coordinate Plane
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Graphs of Linear Equations
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Horizontal and Vertical Line Graphs
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Applications of Linear Graphs
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Intercepts by Substitution
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Intercepts and the Cover-Up Method
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Slope
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Rates of Change
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Slope-Intercept Form
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Graphs Using Slope-Intercept Form
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Direct Variation
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Applications Using Direct Variation
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Function Notation and Linear Functions
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Graphs of Linear Functions
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Problem Solving with Linear Graphs