242 Chapter 3 Graphing Linear Equations in Two Variables 89. A linear equation is written in standard form if it can be written as where A and B are not both zero. Write the equation in slope-intercept form to show that the slope is given by the ratio, . (B 0.) For Exercises 90–93, use the result of Exercise 89 to find the slope of the line. 90. 91. 6x 7y 9 92. 4x 3y 5 93. 11x 8y 4 2x 5y 8 Linear Equations in Two Variables For Exercises 1–20, choose the equation(s) from the column on the right whose graph satisfies the condition described. Give all possible answers. 1. Line whose slope is positive. 2. Line whose slope is negative. 3. Line that passes through the origin. 4. Line that contains the point (3, –2). 5. Line whose y-intercept is (0, 4). 6. Line whose y-intercept is (0, –5). 7. Line whose slope is . 8. Line whose slope is –2. 9. Line whose slope is 0. 10. Line whose slope is undefined. 11. Line that is parallel to the line with equation 2 3 y 12. Line perpendicular to the line with equation 13. Line that is vertical. 14. Line that is horizontal. 15. Line whose x-intercept is (10, 0). 16. Line whose x-intercept is (6, 0). 17. Line that is parallel to the x-axis. 18. Line that is perpendicular to the y-axis. 19. Line with a negative slope and positive y-intercept. 20. Line with a positive slope and negative y-intercept. x 4. y 2x 9. 1 2 a. b. c. d. e. f. g. y 5x 2x 3y 12 y 1 2 x 5 3x 6y 10 2y 8 y 2x 4 3x 1 h. x 2y 6 AB Ax By C Ax By C, Problem Recognition Exercises
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