[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637975-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-637975-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","gradient-of-a-linear-equation-worksheet-2","Gradient of a Linear Equation - Worksheet 2","","This educational resource provides a comprehensive practice worksheet for calculating the gradient (slope) of a linear equation between two coordinate points. Designed for students, the material presents twelve distinct problems requiring the application of the gradient formula m = (y2 – y1)/(x2 – x1), with outcomes expressed as integers or simplified fractions. The document includes a complete answer key with step-by-step calculations for each problem, serving as a valuable assessment tool for verifying accuracy in slope determination and algebraic proficiency in coordinate 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is the mathematical formula for calculating the gradient of a line?","Question",{"text":62,"@type":63},"The gradient (m) is calculated using the formula m = (y2 – y1)/(x2 – x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How should the final answers for the gradient be presented?",{"text":67,"@type":63},"The answers should be provided as either a whole number or a fraction in its simplest form.",{"name":69,"@type":60,"acceptedAnswer":70},"What does this worksheet include for verification?",{"text":71,"@type":63},"This worksheet includes an answer key section that provides the full calculation steps and final results for each of the twelve practice 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using the equation m = (y2 – y1)/(x2 – x1) .  \n• Give your answer as a whole number or as a fraction in simplest form.  \n1) Points (2, 6) and (7, 21) 2) Points (0, 3) and (3, 21)  \n3) Points (2, 3) and (6, -1) 4) Points (0, 7) and (5, -3)  \n5) Points (-1, 4) and (3, 12) 6) Points (2, 4) and (7, 29)  \n7) Points (-2, 3) and (4, 6) 8) Points (-1, 11) and (5, -19)  \n9) Points (0, 4) and (3, -17) 10) Points (8, -2) and (2, 1)  \n11) Points (-2, -11) and (9, 33) 12) Points (-6, 29) and (5, -4)  \nName Date  \nGRADIENT OF A LINEAR EQUATION SHEET 2 ANSWERS  \n1) Points (2, 6) and (7, 21) 2) Points (0, 3) and (3, 21)  \nm = (21 – 6)/(7 – 2) = 15/5 = 3 m = (21 – 3)/(3 – 0) = 18/3 = 6  \nThe gradient is 3 The gradient is 6  \n3) Points (2, 3) and (6, -1) 4) Points (0, 7) and (5, -3)  \nm = (-1 – 3)/(6 – 2) = -4/4 = -1 m = (-3 – 7)/(5 – 0) = -10/5 = -2 The gradient is-1 The gradient is-2  \n5) Points (-1, 4) and (3, 12) 6) Points (2, 4) and (7, 29)  \nm = (12 – 4)/(3 –(-1)) = 8/4 = 2 m = (29 – 4)/(7 – 2) = 25/5 = 5 The gradient is 2 The gradient is 5  \n7) Points (-2, 3) and (4, 6) 8) Points (-1, 11) and (5, -19)  \nm = (6 – 3)/(4 –(-2)) = 3/6 = ½ m = (-19 – 11)/(5 –(-1)) = -30/6 = -5 The gradient is ½ The gradient is-5  \n9) Points (0, 4) and (3, -17) 10) Points (8, -2) and (2, 1)  \nm = (-17 – 4)/(3 – 0) = -21/3 = -7 m = (1 –(-2))/(2 – 8) = 3/-6 = -½ The gradient is-7 The gradient is-½  \n11) Points (-2, -11) and (9, 33) 12) Points (-6, 29) and (5, -4)  \nm = (33 –(-11))/(9 –(-2)) = 44/11 = 4 The gradient is 4  \nm = (-4 – 29)/(5 –(-6)) = -33/11 = -3 The gradient is-3","cbCaicpw4j4cnknv","https://ap.wps.com/l/cbCaicpw4j4cnknv","pdf",206854,"English","# Gradient Calculation Problems\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the mathematical formula for calculating the gradient of a line?\",\"answer\":\"The gradient (m) is calculated using the formula m = (y2 – y1)/(x2 – x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.\"},{\"question\":\"How should the final answers for the gradient be presented?\",\"answer\":\"The answers should be provided as either a whole number or a fraction in its simplest form.\"},{\"question\":\"What does this worksheet include for verification?\",\"answer\":\"This worksheet includes an answer key section that provides the full calculation steps and final results for each of the twelve practice problems.\"}]","Gradient of a Linear Equation - Worksheet 2 | PDF",1792681844]