Write and graph linear equations in slope-intercept form.

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)