248 Chapter 3 Graphing Linear Equations in Two Variables Vocabulary and Key Concepts 1. a. The standard form of an equation of a line is , where A and B are not both zero and C is a constant. b. A line defined by an equation y k, where k is a constant is a (horizontal/vertical) line. c. A line defined by an equation x k, where k is a constant is a (horizontal/vertical) line. d. Given the slope-intercept form of an equation of a line, y = mx b, the value of m is the and b is the . e. Given a point (x1, y1) on a line with slope m, the point-slope formula is given by . Review Exercises For Exercises 2–6, graph each equation. 2. 5x 15 0 3. 2x 3y 3 4. y 2x 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 4 y 1 543 1 2 3 4 5 21 2 3 4 5 x 3 2 1 5 4 y 1 2524 1 2 3 4 5 2221 22 23 24 25 x 3 2 21 23 5 4 y 1 543 1 2 3 4 5 2 1 2 3 4 5 x 3 2 1 y 5. 6. y 1 543 1 2 3 4 5 21 2 3 4 5 6 7 8 x 2 1 4 5 3 y 9 x For Exercises 7–10, find the slope of the line that passes through the given points. 11, 32 and 12, 62 12, 42 and 12, 42 7. 8. 12, 52 and 15, 52 16.1, 2.52 and 16.1, 1.52 9. 10. Concept 1: Writing an Equation of a Line Using the Point-Slope Formula For Exercises 11–16, use the point-slope formula (if possible) to write an equation of the line given the following information. (See Example 1.) 11. The slope is 3, and the line passes through the 2 12. The slope is , and the line passes through the point 11, 52. 5, 14. The slope is and the line passes through the point 16. The slope is and the line passes through 12, 02. 34 , 11, 32. point 12, 12. 13. The slope is , and the line passes through the point 4 15. The slope is and the line passes through 11, 02. 12 , 13, 22.
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