1. Grab your folder and be ready to review your quiz
Warm UP
Grab your folder and be ready to review your quiz

2. Linear Functions: Slope Intercept Form
2-3
Linear Functions: Slope Intercept Form
Day 1
Objective:
I can write and graph a linear function in slope intercept form

3. Slope Sketch and describe the slopes of each graph. (x2, y2) (x1, y1)
Horizontal Change
(x2, y2)
Vertical Change
(x1, y1)
Negative Slope
Positive Slope
Vertical Change (rise)
Horizontal Change (run)
undefined
Slope = 0

4. 4−7 6−1 = −3 5 7−4 1−6 = 3 −5 6−(−5) 5−(−4) = 11 9 −5−6 −4−5 = −11 −9
Find the slope for each set of points.
(x1, y1) and (x2, y2):
4−7 6−1
= −3 5
7−4 1−6
= −5
(1,7) and (6, 4)
6−(−5) 5−(−4) =
−5−6 −4−5
= −11 −9
(-4, -5) and (5, 6)

5. Linear Equation: Slope Intercept form
m = 2; y-intercept is (0, -3)
y-intercept = b
Slope = m
m = ; y-intercept is (0, 7)

6. Linear Equation: Slope Intercept form
Vertical Change
Horizontal Change
Horizontal Change
Vertical Change

7. Linear Equation: Slope Intercept form
Graph:
Horizontal Change
1. Plot y-intercept
2. Use slope to plot 2nd point.
Vertical Change
3. Draw line through points.
Graph:

8. Writing in slope intercept form
Solve for y!
2𝑥+6𝑦=24
6𝑦=−2𝑥+24
9𝑥−3𝑦=12 6 6 6
−3𝑦=−9𝑥+12 −3 −3 −3
𝑦=− 𝑥+4
𝑦=3𝑥−4
p.78: 9, 11, 13, 15, 18, 19, 23, 27, 29, 33, 35, 44, 47-49

9. Warm Up What is the slope and y-intercept in the following equations:
y = 11x +4
3y + 2 = 6x
Find the slope given points: (6,7) and (15,2).
m = 11
y = 4
−𝟐 𝟑
2 3
m = 2
Y =
y =2𝑥−
2−7 15−6 = −𝟓 𝟗

10. Homework Q&A

11. More Linear Equations Point Slope Form
Day 2
Objective:
I can write and graph a linear function in point slope form.

12. Point Slope Form Examples Slope Formula: Point (2, 3) Slope: 4 3 4 2
+ 7
+ 3
Point (x1, y1)
Point (-6, 5) Slope: -2 5 -2
+ 6

13. Write an equation given two points
Equation for the line that passes through (3, 2) and (5, 8)
Equation for the line that passes through (7, 3) and (3, 11)
1. Find the slope.
2. Choose 1 of the given points and substitute into point-slope form. OR OR
Same Line?

14. Graphing from point-slope form
Graph the equation:
Graph the equation:
Point:
Slope:
Point:
Slope:
p.86:10-21, 42-44, 49
Exit Ticket Today!!!

15. Warm Up
Given the pattern above, make an input output table and write an equation in slope intercept form for the diagram number and the squares per diagram:

16. Homework Q&A

17. More Linear Equations Standard Form
Day 3
Objective:
I can write and graph a linear function in standard form.

18. Three Forms of a linear equation
Slope-Intercept Form:
y = mx + b
𝑦= 2 3 𝑥+5
m = slope
b = y-intercept
Point Slope Form:
y – y1 = m(x – x1)
𝑦−9= 2 3 (𝑥−6)
m = slope
(x1, y1) = point
Standard Form:
Ax + By = C
2𝑥−3𝑦=−15
where A, B, and C are integers.
- meaning no fractions or decimals.

19. No fractions or decimals
Standard Form to Slope-Intercept Form
Slope-Intercept Form to Standard Form
Ax + By = C
Add or Subtract mx from both sides.
Solve for y!
3𝑥+5𝑦=15
𝑦= − 7 5 𝑥+3
5𝑦=−3𝑥+15
No fractions or decimals
5( )
7 5 𝑥+𝑦=3
𝑦= − 3 5 𝑥+3
7𝑥+5𝑦=15
Multiply to eliminate denominators.
𝑦= 𝑥+7
−3𝑥+2𝑦=14
3𝑥−2𝑦=−14

20. Graphing a standard form equation
Find and graph the intercepts.
3x + 5y = 15
x =
___________
y =
_________ 15
x-intercept
y-intercept 15 5 3
𝐴𝑥+𝐵𝑦=𝐶
𝐴𝑥+𝐵𝑦=𝐶
x = 5
y = 3
𝐴𝑥+𝐵(0)=𝐶
𝐴(0)+𝐵𝑦=𝐶
𝐴𝑥=𝐶
𝐵𝑦=𝐶
𝑥= 𝐶 𝐴
𝑦= 𝐶 𝐵

21. A runner is participating in a 10-kilometer road race and she is currently at the halfway point. She looks at her watch and notices that it has taken her exactly twenty five minutes to get to this point. Assume that she has run at a constant rate and will complete the race at this same rate.
Write an equation to represent the distance she has run from where she is now.
x = Time (minutes)
y = Distance from 5 km (km)
Running Rate:
Starting point:
Slope-intercept Form
(y-intercept)

22. p. 86:22-31, 36-41 Amount of water 1st Truck Amount of water 2nd Truck
After a water main break, a large building’s basement was flooded to the ceiling. The local fire department provides two pump trucks to pump the water out. The first truck can pump 25 cubic feet of water per minute and the second truck can pump 32 cubic feet of water per minute. The building is a rectangular prism, measuring 150 feet long, 120 feet wide and 10 feet deep.
p. 86:22-31, 36-41
If both trucks are used for different amounts of time to pump out the basement, write an equation to represent this situation.
Amount of water 1st Truck
Amount of water 2nd Truck
Time spent pumping
x = First Truck
y = Second Truck +
= Total
Standard Form