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# Valentines day find the equation of a line given two points

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### Valentines day find the equation of a line given two points

1. 1. Valentine’s Day PracticeFind the Equation of a Line Given Two Points
2. 2. INSTRUCTIONS: This is a quick 5 problem handout to give students. Students will find the equation of a line given two points. Once they are done they will plot the two points given and draw a line between them. (They can use this to double check that they found the correct slope!) The line students plot will make the shape of a heart. Students who finish early can decorate the heart/page. I gave this sheet to my class at the beginning of class. After grading the sheets I hung the more colorful ones around the room. If you have any questions, comments, and/or suggestions, please send a note on teachers pay teachers, or email me at: randi.loveland@yahoo.com. If you like this free product, please leave feedback! Leaving feedback allows you to earn TPT credits which add up to give you money to spend on TPT! Thank you!***Note: The graphics used in this document are from: http://the3amteacher.blogspot.com . ©The3am Teacher Created By: Michelle Tsivgadell and http://www.teacherspayteachers.com/Store/Gary-Stark. Itis a violation of copyright laws to remove the graphics from this presentation for other uses, or touse this product for anything other than was stated in the copyright notice when the product waspurchased. Thank you for respecting copyright laws!
3. 3. Name:_______________________ Date______________ Class________ Find the Equation of the Line Instructions: Using the points given, find the equation of the line. Once you have finished, plots each set of points. Draw a line between the points.Example: (0, 4) & (3, 6) 𝑦2 −𝑦1 6 −4 2Step 1: Find Slope: M = = = 𝑥2 −𝑥1 3 −0 3 2Step 2: Find b (y-intercept) 4= 0 +b 4=b 3 2Step 3: Write the equation of the line: Y = x + 4 3Step 4: Plot (0, 4) and (3, 6). Then connect the dots.1) (3, 6) & (5, 2) 2) (5, 2) & (0, -5)3) (0, -5) & (-5, 2)4) (-3, 6) & (-5, 2)5) (0. 4) & (-3, 6)
4. 4. ANSWER KEY Find the Equation of the Line Instructions: Using the points given, find the equation of the line. Once you have finished, plots each set of points. Draw a line between the points.Example: (0, 4) & (3, 6) 𝑦2 −𝑦1 6 −4 2Step 1: Find Slope: M = = = 𝑥2 −𝑥1 3 −0 3 2Step 2: Find b (y-intercept) 4= 0 +b 4=b 3 2Step 3: Write the equation of the line: Y = x + 4 3Step 4: Plot (0, 4) and (3, 6). Then connect the dots.1) (3, 6) & (5, 2) 2) (5, 2) & (0, -5) 𝑦2 −𝑦1 2 −6 −4 𝑦2 −𝑦1 −5 −2 −7 7M= = = = -2 M= = 0 −5 = −5 = 5 𝑥2 −𝑥1 5 −3 2 𝑥2 −𝑥1 76 = -2 (3) + b -5 = (5) (0) + b6 = -6 + b -5=b 7b = 12 y= x-5 5Y = -2x + 123) (0, -5) & (-5, 2) 𝑦 −𝑦 2 −(−5) 7 7M = 𝑥2 −𝑥1 = −5 −0 = −5 = − 5 2 1 7-5= -5(0) + b-5 = b 7Y=− x-5 54) (-3, 6) & (-5, 2) 𝑦2 −𝑦1 2 −6 −4M= = −5 −(−3) = −2 = 2 𝑥2 −𝑥16 = 2(-3) + b6 = -6 + b12 = bY = -2 x + 125) (0. 4) & (-3, 6) 𝑦 −𝑦 6 −4 2M= 2 1= = 𝑥2 −𝑥1 −3 −0 −3 24 = -3 (0) + b4=b 2Y=- x+4 3