# Honors Geometry Companion Book, Volume 1

3.2.3 Point-Slope Form - Worksheet

Example 1: Graph the line with the given slope that contains the given point. 1. slope = 1; (l, 0) 2. slope = − 1; (3, 1)

3. slope = − 2; ( − 4, − 2)

Example 2: Graph the line described by each equation. 4. y − 1 = − ( x − 3)

6. + =− + y x 1 1 2

5. y + 2 = − 2( x + 4)

( 4)

Example 3: Write the equation that describes each line in slope-intercept form. 7. =− − slope 1 3 , ( 3, 8) is on the line.

8. slope = 2, (l, l) is on the line.

9. ( − 2, 2) and (2, − 2) are on the line.

10. (l, l) and ( − 5, 3) are on the line.

11. x -intercept = 8, y -intercept = 4

12. x -intercept = − 2, y -intercept = 3

Example 4: Each pair of points is on a line. Find the intercepts. 13. (5, 2) and (7, 4) 14. ( − 1, 5) and ( − 3, − 5)

15. (2, 9) and ( − 4, − 9)

Example 5: 16.  An oil tank is being filled at a constant rate. The depth of the oil is a function of the number of minutes the tank has been filling, as shown in the table. Write an equation in slope-intercept form that represents this linear function. Then find the depth of the oil after one-half hour.

Time (min) Depth (ft) 0 3 10 5 15 6

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