Math 8: Linear Equations with 2 Variables Section #8: Writing an Equation given 2 Points 8.F.4 Corresponds with Module 4, Lessons 16 Notes #54 _________________________ Key Concept! To Write Linear Equations in Slope Intercept Form given a Two Points. 1) When writing linear equation, write them in the slope intercept form_____________________. 2) To write an equation in slope-intercept form you must: a. Find the slope: _____________________ b. Find the y-intercept, substitute the _____________ and either point into y = mx + b and solve for _____. 3) Once you know the slope & intercept, substitute the slope in for ____ and the y-intercept for ___. Example 1: Write the equation of a line, given the coordinates of two points on the line. a) Write the equation of the line that passes through the points (5, 4) & (6, 7). b) Write the equation of the line that passes through the points (4, 2) & (2, 7). Practice: Write the equation of a line, given the coordinates of two points on the line. a) (-5, 6), (-2, 12) a) (4, -2), (6, 1) You Try: Write the equation of a line, given the coordinates of two points on the line. 1) (-3, 4), (0, -5) 2) (8, 4), (12, 2) 3) (6, -3), (-2, -3) 4) (3, 5), (0, 0) Math 8: Linear Equations with 2 Variables Section #8: Writing an Equation given 2 Points 8.F.4 Corresponds with Module 4, Lessons 16 HW #54 _________________________ Write the equation of a line, given the coordinates of two points on the line. 1) (4, 7), (1, -2) 2) (3, 4), (5, -4) 3) (3, -6), (-1, 2) 4) (4, -4), (8, -10) MORE ON BACK!! 5) For a science experiment, mala measured the height of a plant every week and recorded it in the following table. Assuming the growth is linear, write an equation to represent the height y of the plant after x weeks. Weeks Height (in.) 5 13 10 14 6) H.O.T. Problems (Higher Order Thinking). You must try to get homework credit!!!! After 2 seconds on a penalty kick in soccer, the ball travels 160 feet. After 3 seconds on the same kick, the ball travels 220 feet. Write an equation to represent the distance y of the ball after x seconds.