AMSCO'S Geometry. New York - Rye High School

5 ? 3 2(2) 1 1 5 ? 2(0) 1 7 5 ? 2(3) 1The Equation of a Line 299We can show that each of the given points lies on the line whose equation isy 2x 1 by showing that each pair of values makes the equation true.(2, 3) (0, 1) (3, 7)y 2x 1 y 2x 1 y 2x 13 3 ✔ 1 1 ✔ 7 7 ✔Answersa, b: Since the coordinates of each point make the equation y 2x 1 true,the three points lie on a line whose equation is y 2x 1.ExercisesWriting About Mathematics1. Jonah said that A, B, C, and D lie on the same line if the slope of AB is equal to the slopeof CD. Do you agree with Jonah? Explain why or why not.2. Sandi said that the point-slope form cannot be used to find the equation of a line with noslope.a. Do you agree with Sandi? Justify your answer.b. Explain how you can find the equation of a line with no slope.Developing SkillsIn 3–14, write the equation of each line.3. Through (1, 2) and (5, 10) 4. Through (0, 1) and (1, 0)5. Through (2, 2) and (0, 6) 6. Slope 2 and through (2, 4)17. Slope 4 through (1, 1) 8. Slope 2 through (5, 4)9. Slope 3 and y-intercept 5 10. Slope 1 and x-intercept 411. Through (1, 5) and (4, 5) 12. Through (1, 5) and (1, 2)13. x-intercept 2 and y-intercept 4 14. No slope and x-intercept 215. a. Do the points P(3, 3), Q(5, 4), and R(1, 1) lie on the same line?b. If P, Q, and R lie on the same line, find the equation of the line. If P, Q, and R do notlie on the same line, find the equations of the lines PQ g , QR g, and PR g.