UNIT 1 Section 3: Graphing Review
Name: __________________________________________
3.1 Graphing using Slope-Intercept Form
Slope-Intercept Form
Equation: ________________
**This formula graphs a ____________ **
m = ___________
b = ___________________
(number that ____________________ x)
(number ____________________________ to x )
Identify the slope and y –intercept in the following equations.
a) y = 3x + 7
d) y = 3x
b) y = -2x + 9
c) y = 2 – x
e) y = 5
f) 2y = 4x + 6
STEPS to GRAPHING
1. Identify slope and y-intercept.
a. Write slope as a __________________________
2. Plot the y-intercept (b – value)
a. y –axis moves ____________________ or ______________
3. Apply slope beginning at the y –intercept
a. RISE ____________________________________
RUN ____________________________________
UNIT 1 Section 3: Graphing Review
UNIT 1 Section 3: Graphing Review
Standard Form of a Line:
3.1.1 Put an equation into Slope-Intercept form.
An equation is in slope-intercept form when _______________________.
Ex 1) 2y = - 4x + 6
Ex 2) - x + 4y = 8
Ex 3) 12 = 2x + 4y
Ex 4) 2x – 5y = 20
You Try!
1) 2x – 4y = 8
2)
3y – 9 = 6x
UNIT 1 Section 3: Graphing Review
3.2 Graphing Special Lines
The equations below have _______________________ variable.
y=–1
x= –1
Type: __________________
Type: ____________________
Slope: ________________
Slope: ___________________
UNIT 1 Section 3: Graphing Review
3.3 Graph using x- and y –intercepts. Then find the slope of the line.
STANDARD FORM (for the equation of a line) ______________________________________
Ex 2. Find the slope and y-intercept. Graph to find x – and y – intercepts.
a.
3x + 4y = 24
b.
2x – 5y = 20
UNIT 1 Section 3: Graphing Review
You Try: Graph each line. Find the x – and y –intercept of each linear equations.
a. 2x + 3y = 6
c. 8 = 2x – y
b. 3x – 5y = 15
d. x = 4y + 12
UNIT 1 Section 3: Graphing Review
UNIT 1 Section 3: Graphing Review
UNIT 1 Section 3: Graphing Review
3.4 Graphing Linear Inequalities
Ex 1) Determine if the following coordinates are solutions to the inequality below
3x + 2y < 6
a. (0, 0)
b. (3, 3)
c. (-1, 2)
d. (2, 0)
Graphing Inequalities Procedure
1. Plot line on the graph
a. Slope-intercept: Find _____ and _____
b. Standard form: Find _____ and _____ intercepts
Points on line….
2. Type of line
a. For ≤ or ≥ use a ___________________ line
_____________________
b. For < or < use a ___________________ line
_____________________
3. Shade
from solution set.
a. Use a test point
Ex 2) Graph the inequality
y < -2x + 6
UNIT 1 Section 3: Graphing Review
Ex 3) Graph the inequality
y ≥ −2𝑥
Ex 4) Graph the inequality
3x + 2y < 6