#College algebra concepts and contexts series#
#College algebra concepts and contexts download#

#College algebra concepts and contexts series#

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#College algebra concepts and contexts download#

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A line perpendicular to another line, passing through a given point, may be found in the same manner, with the exception of using the negative reciprocal slope.

Similarly, the point-slope form of an equation can also be used.

A line parallel to another line, passing through a given point, may be found by substituting the slope value of the line and the x- and y-values of the given point into the equation, f ( x ) = m x + b, f ( x ) = m x + b, and using the b b that results.

Perpendicular lines have negative reciprocal slopes, assuming neither is vertical.

Vertical lines are written in the form, x = b.Horizontal lines are written in the form, f ( x ) = b.The x-intercept is the point at which the graph of a linear function crosses the x-axis.The equation for a linear function can be written by interpreting the graph.Graphs of linear functions may be transformed by using shifts up, down, left, or right, as well as through stretches, compressions, and reflections.Linear functions can be graphed by plotting points or by using the y-intercept and slope.See Example 8, Example 9, and Example 10. A linear function can be used to solve real-world problems given information in different forms.The equation for a linear function can be written if the slope m m and initial value b b are known.An equation for a linear function can be written from a graph.The slope of a linear function can be calculated by dividing the difference between y-values by the difference in corresponding x-values of any two points on the line. A constant linear function results in a graph that is a horizontal line. A decreasing linear function results in a graph that slants downward from left to right and has a negative slope. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.Linear functions can be represented in words, function notation, tabular form, and graphical form.