1. Lesson 5-2 – Slope Intercept Form Notes – Writing Linear Equation
Agenda
Lesson 5-2 – Slope Intercept Form
Standards
6.0 Graph a linear equation
7.0 Verify that a point lies on a line, given an equation of the line
Warm Up
Review
Notes – Writing Linear Equation
Practice
Homework – Page 242 problems 7 to 9 and 19 to 21

2. Homework – Page 242 problems 7 to 9 and 19 to 21
Warm Up
Find the slope for the lines that contain the following pairs of points
a. (2, 3) and (4, 7)
b. (3, 1) and (4, –2)
c. (2, 4) and (2, 6)
d. (4, 4) and (2, 4)
Homework – Page 242 problems 7 to 9 and 19 to 21

3. Find the missing coordinate
EXAMPLE A
Find the missing coordinate
(2, 4), (x, 8); slope = –2
m =
y2 – y1
x2 – x1
-2x + 4 = 4
–4 –4
-2x = 0
-2 =
8 – 4
x – 2
-2x = 0
-2 = 4
x – 2
-2(x – 2) =
(x – 2)
x = 0
-2(x – 2) = 4
(2, 4), (0, 8)
-2x + 4 = 4

4. Linear function: a function that graphs a line.
Slope-Intercept Form
Linear function: a function that graphs a line.
Parent function: simplest equation of a function
Examples: y = x, y = x2
Linear equation: an equation that models a linear function
y-intercept: the y-coordinate of the point where the line crosses the y-axis
Slope-intercept form: y = mx + b
Slope y-intercept

5. Identifying Slope and y-Intercept
EXAMPLE 1
Identifying Slope and y-Intercept
What is the slope and y-intercept of y = 3x – 5?
Use: y = mx + b
Rewrite: y = 3x – 5 as y = 3x + (–5)
slope
y-intercept

6. 2 EXAMPLE Writing an Equation Use: y = mx + b m = 2 and b = 6
Write an equation of the line with slope 2 and a y-intercept 6
Use: y = mx + b
m = 2 and b = 6
Substitute m = 2 and b = 6 in y = mx + b to get y = 2x + 6

7. Writing an Equation from a graph
EXAMPLE 3
Writing an Equation from a graph
y- intercept = ______
slope = =
rise
run

8. Class work – Please do these now
Page 242 Problems 1 to 6 all, 10 to 18 even
and 22 to 26 even
Homework – Please do at home
Page 242 problems 7 to 9 and 19 to 21 all

10. Lesson 5-2 – Slope-Intercept Form - Day 2
Agenda
Lesson 5-2 – Slope-Intercept Form - Day 2
Standards
6.0 Graph a linear equation
7.0 Verify that a point lies on a line, given an equation of a line
Warm Up
Review
Notes – Slope
Practice
Homework – Page 217 problems 20 to 28 all

11. Verifying Points on a Line
EXAMPLE 4
Verifying Points on a Line
Determine whether (3, –5) lies on the graph of y = –3x + 4
y = –3x + 4
–5 = –3(3) + 4 ?
–5 = –9 + 4 ?
–5 = –5

12. You Try One:
Determine whether (5, –7) lies on the graph of 3y + 5x = 4

13. 5 EXAMPLE Graphing an Equation
You buy vegetables at a farmer’s market for $1.50 per pound. The equation y = 1.5x represents the situation where y is the number of pounds and y is the total cost of your purchase. Graph the equation.
Step 1
The y-intercept is 0. so plot
A point a (0, 0)
Step 3
Draw a line through the two points.
Step 2
The slope is 1.5 or Use the slope to plot a second point 3 2

14. Class work – Please do these now
Page 242/243 Problems 28 to 42 even and 47 to 52 all
Homework – Please do at home
Page 242/243problems 43 to 45 and 53 to 55 all