Download Find equation parallel to line through point

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/