SECTION 5 3 WRITING LINEAR EQUATIONS GIVEN TWO

SECTION 5. 3 WRITING LINEAR EQUATIONS GIVEN TWO POINTS Objectives: Write an equation of a line given two points on the line Use a linear equation to model a real-life problem

Writing Linear Equations • First Method: Given the slope and y-intercept (5. 1) • Second Method: Given the slope and any point (5. 2) • Today’s Method: Given two points on the line (5. 3) • Steps: First, find the slope using the two points and the slope formula Second, find the y-intercept using one point, the slope and the slope intercept form Third, write the equation using the slope and y-intercept

EX: Write an equation in slope-intercept form of the line that passes through the points • 1. • 2.

EX: Write an equation in slope-intercept form of the line that passes through the points • 3. • 4.

EX: Writing Equations of Parallel and Perpendicular Lines • RECALL: • 5. Parallel Lines have the same slope Perpendicular Lines have the opposite reciprocal slope

Word Problem • A camp program charges a registration fee and a daily amount. If the total bill for one camper was $338 for 12 days and the total bill for another camper was $506 for 19 days. • a) Write a linear equation that models the total bill y in terms of the number of days x • b) How much will the bill be for a camper who enrolls for 30 days?

5. 3 P. 288 18 – 45 X 3, 26, 31, 46, 47, 53 – 55 ALL, 58 – 60 ALL, 66 – 72 X 3 24 questions