Honors Geometry Companion Book, Volume 1

3.2.3 Point-Slope Form - Practice

1.  Graph the line with a slope of 2 3 contains the point ( − 3, − 5).

2.  Graph the line with a slope of − 1 that contains the point (3, 6).

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3.  Write the equation of the line in point-slope form.

4.  Write an equation in point-slope form for the line that has a slope of and

1 5

contains the point (2, − 9).

6.  The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope- intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 29 gallons. Tank size (gal) ( x ) Total cost ($) f ( x ) 9 20.35 16 33.65 20 41.25

5.  Write an equation in slope-intercept form for the line that passes through (8, 1) and (4, 3).

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