# HW 31 - Helix Algebra ``` Assignment #31 Name:________________________________ Plotting Points; Vertical and Horizontal Lines **Use the coordinate planes provided on a separate sheet of paper &agrave;Plot the four points on the coordinate plane. Connect the points to form a rectangle. 1.) Find the PERIMETER: (−4 , 0) (−4 , 6) (5 , 0) ( 5, 6) Perimeter: ___________ 2.) Find the AREA: (0 , 0) (−4 , 0) (0 , 7) ( −4, 7) Area: ___________ &agrave;Plot the three points on a coordinate plane. Connect the points to form a triangle, then find the !
AREA. 𝐴𝑟𝑒𝑎 𝑜𝑓 𝑎 𝑡𝑟𝑖𝑎𝑛𝑔𝑙𝑒 = (𝑏𝑎𝑠𝑒 ∙ ℎ𝑒𝑖𝑔ℎ𝑡) !
!
!
!
3.) (1 , 2) (7 , 2) (1 , 6) −
4.) ! −4 , ! ! !−4 ,
!! !0 ,
! ! Area: __________ Area: __________ &agrave;Graph and label the three lines on the same coordinate plane. If the lines cross, label the coordinates of the point where the lines meet. 5.) 𝑦 = 5 , 𝑥 = 4 , 𝑦
= −1 6.) 𝑦 = 3, 𝑦 =
0 , 𝑥 =
−2 𝑦 = −4 , 𝑥 = 0 , 𝑥 = 2 7.) &agrave;Graph the four lines on the same coordinate plane. From the rectangle formed by the lines, find: 8.) Perimeter: 𝑦 = 0, 𝑥 = 4, 𝑦 = 6, 𝑥 = 0 Perimeter: ___________ 9.) Area: 𝑦 = 6, 𝑥 = −4 , 𝑦 = −1 , 𝑥 = 5 Area: _____________ &agrave;Use the graph below to answer questions 10-&shy;‐14: Marks Bank Account Balance: \$20 \$15 Marks Money \$10 \$5 Jan Feb. Mar. Apr. May Jun. July Aug. Sep. Oct. Nov. Dec. -&shy;‐ \$5 -&shy;‐\$10 -&shy;‐\$15 -&shy;‐\$20 10.) In which month did Mark have the most money? _____________________ 11.) In which months did Mark owe the bank money? ______________________ 12.) Plot points to represent the following: *In May, Mark had \$3. *In April, Mark had \$12. *In June, Mark had \$0. 13.) What month did Mark have \$18? ___________________ 14.) Predict how much money you think Mark will have in December then justify your reasoning. &agrave;Write the rule for each table (Hint: how can you get from x to y) 15.) 𝑥 𝑦 16.) 𝑥 𝑦 17.) 3 10 8 38 3 24 5 5 50 494 14 14 14 6 1 9 9 6 7 2 2 2 8 7 64 𝑥 𝑦 0 1 0 0 -&shy;‐4 -&shy;‐7 -&shy;‐37 -&shy;‐4 -&shy;‐10 -&shy;‐29 -&shy;‐9 -&shy;‐10 -&shy;‐106 𝑦 = __________________ 𝑦 = __________________ 𝑦 = __________________ ```