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Understanding Slope and Midpoint: A Math Review Guide

This resource provides a comprehensive review of key concepts such as finding the slope of lines and determining midpoints in coordinate geometry. It includes practice problems for calculating slopes through given points and identifying y-intercepts in linear equations. Additionally, students will explore the midpoint formula, apply it to various points, and engage with upcoming review sessions leading up to finals. This activity is designed to enhance understanding and prepare students for assessments in geometry.

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Understanding Slope and Midpoint: A Math Review Guide

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  1. Bell Ringer Find the slope of the lines going through: 1. (1, 2) (3, 8) 2. (0, 5) (6, 8) Identify the slope and the y-intercept: 3. y = 6x + 2 4. y = -3x – 1 m = 3 m = ½ m = 6, b = 2 m = -3, b = -1

  2. Next Two Weeks… Mon – Midpoint Refresher Tue – Distance Formula Wed – Midpoint and Distance Problems Thur – Mini-Quiz (Midpoint & Distance) Fri – Begin Final Exam Review Mon – No School – MLK Day Tue – Final Exam Review Wed – Finals (Odd) Thur – Finals (Even) Fri – Return Final Exams

  3. GRE 504: Find the midpoint of a line segment* GRE 603: Use the distance formula The Midpoint Formula

  4. The Midpoint…(Refresher!) • The midpoint is the middle of two points on a coordinate plane. • To find the midpoint, you would find the average of the x and y coordinates, or… x1 + x2 2 , y1 + y2 2 ) (

  5. Find the midpoint! Find the midpoint of the coordinates: (2, 4) & (6, 12) I remember this! (x1, y1) (x2, y2) , ( ) 2 + 64 + 12 2 2 ( ) , 816 2 2 This is the midpoint! (4, 8)

  6. Find the midpoint and plot it! Identify the points! (5, 3) and (-3, -3) Use the formula! . ( , ) 5 + -33 + -3 2 2 . . ( , ) 20 2 2 Now plot it! (1, 0)

  7. Find the midpoint and plot it! Identify the points! (2, 8) and (-5, -5) Use the formula! . . ( , ) 2+ -58+ -5 2 2 . ( , ) -33 2 2 Now plot it! (-1 ½ , 1 ½ )

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