A. The y-intercept
In the previous Investigation, you saw that some characteristics of a graph can be determined readily from the corresponding equation when it is written in slope-intercept form.
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Slope-Intercept Form
a linear equation of the form y = mx + b, where m represents the slope and b represents the y-intercept of the graph of the corresponding linear relation |
Key Lesson Marker
In the equation of the line defined by
y = mx + b,
m represents the slope of the line and
b represents the
y-intercept.
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y-intercept
the point at which the graph of a relation crosses the y-axis |
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The y-intercept can be represented by the point of intersection between the graph and the
y-axis or by just the
y-value of that point of intersection. Both of the following statements represent the same information.
The y-intercept is more generally known as the vertical-axis intercept. Although y is a common label for the vertical axis, other variables can be used. The graph below shows a d-intercept.
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The following video shows a specific example of a linear equation in «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mi»m«/mi»«mi»x«/mi»«mo»+«/mo»«mi»b«/mi»«/math» and how its equation relates to its graph.