5­3 P1 R (taught).notebook
March 10, 2015
Bell Ringer
5­3 Part 1: Slope­Intercept Form
CFU 3102.3.21a Determine the equation of a line from a point and a slope.
2.
CFU 3102.3.21d Determine the equation of a line from a graph.
3. Find the rate of change in the graph below and tell what it represents.
You will be able to . . .
• Identify the slope and y­intercept of a linear equation written in slope­intercept form.
SPI 3102.1.2d Write a [linear] equation symbolically to express a contextual problem.
Linear Equation
A linear equation is an equation that models a linear function, whose graph is always a line.
• Write an equation in slope­intercept form.
Solution of a Linear Equation
Any ordered pair that makes the equation true.
Forms of a Linear Equation
1. Slope­Intercept Form
2. Point­Slope Form
Ex. Test whether each ordered pair is a solution of the linear equation.
a. y = 6x ­ 2; (4, 20)
3. Standard Form
b. 3x ­ 4y = ­8; (­12, ­7)
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5­3 P1 R (taught).notebook
March 10, 2015
Slope­Intercept Form
Example: Find the slope and y­intercept of the graph of the following linear equations.
y = mx + b
slope
a. y = 3x + 1
b. y­intercept
Your Turn: Find the slope and y­intercept of the graph of the following linear equations.
Example: Write an equation in slope­intercept form with the given slope and y­intercept.
1. y = 5x ­ 3
a. slope:
2.
y­intercept: ­1
Your Turn: Write an equation in slope­intercept form with the given slope and y­intercept.
1. slope: 3
2. slope: ­2
y­intercept: 2
b. slope: 6
y­intercept: ­4
Example: Write an equation in slope­intercept form of each line.
a.
b.
y­intercept: 2
5­3 P1 R (taught).notebook
March 10, 2015
Your Turn: Write an equation in slope­intercept form of the line.
Example: Hudson is already 40 miles away from home on his drive back to college. He is driving 65 mi/h. Write an equation that models the total distance d travelled after h hours.
Your Turn: A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.
Homework
pgs. 310­313 (#8­14 even, 16­27, 49­50, 61a, 77­78)
*On 49­50, equation only (no graphs).
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