Chapter 6 Test with solutions

Name Class DateChapter TestForm AChapter 6Find the slope of the line passing through each pair of points.3 51. (–3, –1), (–1, 5) 2. ,5 , ,2 4 4 5 11 362 32 5 3 3 5 3 824 4 4Graph each equation.3. x +2y =6 (6,0) (0,3) 4. 3x –y =4 Solve for y: y = 3x – 4m = 3/1 (0,-4)5. y = 1 x–3 m = ½ (0,-3) 6. y –2 = –2(x –3) m = -2/1 (3,2)27. x = 6 (6,0) (6,1) (6,2) etc… 8. y = - 4 (0,-4) (1,-4) (2,-4)Simplify each equation.9. 2y = 8 (divide by 2) 10. x + 7 = 4 (subtract 3)y=4 x = -3Write each equation in slope-intercept form.11. 2x –3y =9 12. x –4y =–20 3y 9 2x 3y9 2x 3 32y 3 x32y x 33 4 y 20 x 4 y 20 4 41y 5 x41y x 54x 413. y – 3 = 2(x – 6) 14. 3x – 2 = y +7y 3 2x12y 3 3 2x12 3y 2x 93x 2 7 3x 9 yy 3x 9y 7 7

15. In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Yearlyproduction is projected to decrease by 0.05 million tons each year. Write a linearfunction that models this situation. (Use y = mx + b) y 0.05x 0. 7Find the x- and y-intercepts of each line. (Write your answer as two ordered pairs.)16. 6x +12y =24 17. –5x +3y =–246x = 24 12y = 24 -5x = -24 3y = -24x = 4 y = 2 x = 4.8 y = -8(4,0) (0,2) (4.8,0) (0,-8)18. –8x +4y =48-8x = 48 4y = 48x = -6 y = 12(-6,0) (0,12)Write an equation in point-slope form for the line with the given slope and passesthrough the given point.19. m = 1 ;(0, –2) y +2 = ¼(x-0) 20. m =–2; (1, 1) y - 1 = -2(x-1)421. m =– 8 ;(3, –3) y + 3 = -8/3(x-3)3Write an equation in slope-intercept form for the line through the given points.22. (2, 3); (1, 5) 23. (5, –2); (–16, 4)Find slope: m=-2 find slope m= -2/7y-3 = -2(x-2) y + 2 = -2/7(x – 5)y-3 = -2x +4 y + 2 = (-2/7)x + 10/7+3 +3 y + 2 – 2 = (-2/7)x + 10/7 – 2y = -2x +7 y = (-2/7)x – 4/724. Describe the line y = 0 in terms of its slope, what type of line it is and any other infoyou can determine. Horizontal, slope of zero, it is the x-axis25. Rewrite the equation y = 2x – 4 in standard form. -2x+y = -426. What factor would you multiply by to get the linear equation y = 1 x–3 in standard2form? Multiply by 2