Concept explainers
Consider the line through the origin and the point (5, 7).
a. Pretend that you do not already know that equations of lines have a particular form. Derive and explain an equation for the line of the form
where m is a suitable number. In your explanation, attend to our definition of multiplication and explain why the equation holds for all points on the line (that have positive x- and y-coordinates).
b. In your own words, explain how to interpret m as the slope of the line.
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