Lesson 7 slope intercept form.notebook February 08, 2016 Lesson 7 (PH Text 5.3): Slope­Intercept Form y=mx+b Objective: to write linear equations using slope intercept­form to graph linear equations in slope intercept­form Parent Function – the simplest function with certain characteristics Linear Parent Function – the simplest linear function – y = x Linear Equation – an equation that models a linear function – the highest power of x in a linear function is 1 y­intercept – the y­coordinate of a point where the graph crosses the y­axis Feb 2­8:26 AM Classwork: pg. 310 #'s 7-27 odd Feb 8­8:56 AM 1 Lesson 7 slope intercept form.notebook February 08, 2016 Rewrite an equation if it is not in slope­intercept form. Then graph the line. Rewrite ­5 = 4x – y so it is in y = mx +b form. Feb 2­8:36 AM Re­write: Feb 2­8:38 AM 2 Lesson 7 slope intercept form.notebook February 08, 2016 Homework: pg. 310 37­40 all Feb 2­8:42 AM To write an equation for a line from a graph, get the slope and y­intercept from the graph and substitute into the form y = mx +b. 1. Find the y­intercept. b = _____ 2. Find the slope using two points. m = _____ 3. Substitute into y = mx + b to write the equation for the line Feb 2­8:41 AM 3 Lesson 7 slope intercept form.notebook February 08, 2016 Write the equation of the line. Feb 2­8:47 AM Write the equation of the line. Feb 2­8:48 AM 4 Lesson 7 slope intercept form.notebook February 08, 2016 To Write the equation from two points: 1. Find the slope using the slope formula m= 2. Use the slope and the coordinates of ONE point to solve for b. 3. Substitute the slope an the y-intercepts into the slope intercept form. Feb 2­8:51 AM Write the equation of the line that passes through the points (1, 4) and (3, 10). Feb 2­8:54 AM 5 Lesson 7 slope intercept form.notebook February 08, 2016 Write the equation of the line that passes through the points (2, 1) and (5, -8) Feb 2­8:55 AM Write the equation of the line that passes through the points (3, -2) and (1, -3). Feb 2­8:55 AM 6 Lesson 7 slope intercept form.notebook February 08, 2016 pg. 310 #'s 22 -36 even Feb 2­8:56 AM 7