How Do You Plot the y = 1 Graph?
Answer – To plot the graph, the slope and y-intercept of the line must first be identified. Then, this information can be used to draw the graph.
Explanation:
To understand how to graph , let’s first consider the slope-intercept form of the equation of a straight line:
, where m is the slope of the line and b is the y-intercept (the point where the line cuts the y-axis).
Using this slope-intercept form, the given equation can also be written as:
This indicates that the slope m is 0 and the y-intercept b is 1.
A slope of 0 further means that is a horizontal line; and since it has a y-intercept 1, the line cuts the y-axis at (0, 1).
The equation also means that y is 1 for every value of x. So the line will pass through the points …, (-2, 1), (-1, 1), (0, 1), (1, 1), (2, 1), and so on.
With all this information, we can start graphing the line.
- We first plot the y-intercept (0, 1) on the y-axis and label it.
- Then, we draw a horizontal line through this point parallel to the x-axis that extends on both sides for every value of x.
The graph will look like this once plotted:
It helps to remember that any equation of the form represents a horizontal line passing through the y-intercept (0, b).
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