write and graph linear equations in slope-intercept form
TRANSCRIPT
4.6 – Quick Graphs Using Slope-
Intercept Form
Objective:Write and graph linear
equations in slope-intercept form
Investigation:In pairs:
Complete the “Investigating Slope-Intercept Form” activity
You will have 10 minutes to finish the activity
This will be counted as an in-class grade based on accuracy
Investigation:
EquationTwo
SolutionsSlope y-intercept
Investigation:Using your completed table…
Write a generalization about the meaning of m and b in the equation
𝑦=𝑚𝑥+𝑏slope
y-intercept
Slope-Intercept Form
A linear equation written in the form of:
The slope of the line is m.
The y-intercept is b.
𝑚=𝑟𝑖𝑠𝑒𝑟𝑢𝑛
Where a line crosses the y-axis.
Organization Check:We can now graph an equation in three different ways:1. Using an x, y table2. Using x-intercepts, y-
intercepts3.Slope-intercept
form
Write the equation in slope-intercept form, then
graph.
𝑦=−𝑥+2m =
b =
4 𝑥+𝑦=3m =
b =
Write the equation in slope-intercept form, then
graph.
m =
b =
Write the equation in slope-intercept form, then
graph.
m =
b =
Write the equation in slope-intercept form, then
graph.
𝑦=−4m =
b =
Write the equation in slope-intercept form, then
graph.
𝑦=5m =
b =
Write the equation in slope-intercept form, then
graph.
2 𝑥+4 𝑦=16m =
b =
Write the equation in slope-intercept form, then
graph.
Break Time!Use this time to get up, stretch out, relax, talk to
a neighbor, or try the following rebus puzzles…
Three blind mice (no I’s)
Overall
Torpedo First, plot your boats on the coordinate
plane and write the ordered pairs that goes with each boat.
Second, start thinking of 5 “y = mx + b” equations. These are going to be what you use to try and sink your opponents’ ships.
With your partner: Student A reads the equation of their first torpedo. Student B graphs the torpedo on the coordinate plane containing his boats. Student A verifies that Student B graphed the equation correctly. If the torpedo hits a ship, both students refer to their worksheet and complete a box for the boat.
Students switch roles.
Continue until each student reads the equations of all five torpedoes.
Exit Slip
Homework: pg. 244 #13-33
(every other odd)
Write the equation in slope-intercept form, then graph.
4 𝑥−8 𝑦=8m =
b =
Section 4.6Reviewing Graphing with Intercepts and Parallel
Lines
−3 𝑥+𝑦=7m =
b =
Write the equation in slope-intercept form, then graph.
Warm-Up
3 𝑥−5 𝑦=15m =
b =
Write the equation in slope-intercept form, then graph.
Challenge
Parallel LinesTwo different lines in the same
plane are parallel if they do not intersect.
Lines are parallel if they have the same _______.
Parallel Lines
slope
Are the lines parallel?
y = 2x + 3
y = 3 + 2x
Are the lines parallel?
y = -2x + 3
y = 3 + 2x
Are the lines parallel?
-x + 2y = 6
-x +2y = -2
Perpendicular LinesTwo different lines in the same
plane are perpendicular if they intersect at a 90 angle.
Perpendicular LinesLines are perpendicular if
their slopes are __________________.
opposite reciprocals
Are the lines perpendicular?
Are the lines perpendicular?
Are the lines perpendicular?
Parallel, perpendicular, or neither?
Parallel, perpendicular, or neither?
Basketball Practice You will be assigned a partner to work with
in the computer lab.
Once you have set-up your players and your game, you will switch off who solves each problem.
Your lead role: If you are solving the problem, show all of
your work. In addition, you must graph every problem.
If you are giving the assist, you must help your partner solve their problem and double-check their work as they go.
Switch roles!
Warning! The refs are strict in this game! Stay on task so you don’t get ejected and have to solve problems on your own!
Homework
pgs. 244-245
#24-44 (every other even)
#46-50 (evens)