0.6 Lines and rates of change
Unit 0 · Textbook foundations: equations, lines and systems
Ideas in this lesson
Slope from two points
Divide the change in output by the nonzero change in input.
Write an equation of a line
Use a point and the slope to recover the vertical intercept.
Perpendicular slopes
Nonzero slopes of perpendicular nonvertical lines have product negative one.
Average rate of change
Divide the difference of function values by the difference of inputs.
Horizontal and vertical lines
Equal output coordinates give a horizontal line; equal input coordinates give a vertical line.
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