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www.MathWorksheetsGo.com Equation Parallel to Line Through a Point Part I. Model Problems Part II. Practice Problems with challenge problems Part III. Model Problems Answered step by step Related links This Topic : www.mathwarehouse.com/algebra/linear_equation/write-‐equation/equation-‐of-‐line-‐ parallel-‐through-‐point.php (Video Tutorial) Slope Intercept Form: www.mathwarehouse.com/slope-‐intercept Parallel Lines: www.mathwarehouse.com/algebra/linear_equation/parallel-‐perpendicular-‐ lines.php Slope: www.mathwarehouse.com/slope2/ Pictures of Parallel Lines: www.mathwarehouse.com/algebra/linear_equation/images/parallel-‐lines/ © www.MathWorksheetsGo.com All Rights Reserved Commercial Use Prohibited Terms of Use: By downloading this file you are agreeing to the Terms of Use Described at http://www.mathworksheetsgo.com/downloads/terms-‐of-‐use.php . Free Graph Paper : www.mathworksheetsgo.com/paper/ Free Printable Math Worksheets www.MathWorksheetsGo.com Warm Up : Picture of Parallel Lines Are the lines y = 2x + 3 and y = 2x + 5 parallel? Explain your reasoning: I. Model Problems Model Problem 1) Write the equation of a line that is parallel to y = 2x + 3 that passes through the point (6,2). Model Problem 2) Write the equation of a line that is parallel to y = ½ x + 5 that passes through the point (2,6). II. Practice Problems 1. Write the equation of a line that is parallel to y = -‐1/4 x Ȃ 6 that passes through the point (12,4). 2. Write the equation of a line that is parallel to y = -‐ 6x + 2 that passes through the point ( -‐2, -‐3) 3. Write the equation of a line that is parallel to y = -‐ 6x + 2 and that has a y-‐intercept of 6 4. Write the equation of a line that is parallel to y = 2x + 3 and that has a y-‐intercept of 12 5. Find the equation of a line parallel to y = 3x + 1 that goes through the point (2,8) ? 6. Find the equation of a line parallel to y = 2x +7 and that goes through the point (4 , 12) ? 7. Find the equation of a line parallel to y =4x + 12 that goes through the point (1,9) ? 8. Find the equation of a line parallel to y =4x + 12 that goes through the point (-‐2 , 3) ? Bonus Problems 9) Find the equation of a line parallel to y = 5 that goes through the point (-‐2 , -‐3) ? 10) Find the equation of a line parallel to x = 5 that goes through the point ( 6 , -‐3) ? Model Problem 1) Write the equation of a line that is parallel to y = 2x + 3 that passes through the point (6,2). Step 1) plug slope the slope intercept formula: y = mx + b y = 2x + b 2) Plug the x and y given in the question into the point slope formula 1 2 2 = (6) + b 3) Solve for b 2 = 3 + b 2 3b 3 3 1 b 4) Substitute vales into slope intercept form y = 2x Ȃ 1 Model Problem 2) Write the equation of a line that is parallel to y = ½ x + 5 that passes through the point (2,6). Step 1) plug slope the slope intercept formula: y = mx + b 1 2 y = x + b 2) Plug the x and y given in the question into the point slope formula 1 2 6 = (2) + b 3) Solve for b 6 2b 2 2 4 b 4) Rewrite equation in slope intercept form y = 2x + 4 Math Worksheets Go! www.MathWorksheetsGo.com Equation Parallel to Line Through a Point Related links Slope Intercept Form: www.mathwarehouse.com/slope-‐intercept Parallel Lines: www.mathwarehouse.com/algebra/linear_equation/parallel-‐perpendicular-‐ lines.php Slope: www.mathwarehouse.com/slope2/