Name ____________________________
Chapter 3 Lesson 8
Math 8 Topic: y = mx + b format 2 What you have to leave
here knowing:
DO IT:
1) Write in y = mx + b form. State the slope and the y –
intercept. 2y = 4x - 10
1) Use algebraic
manipulation to get a line
in the form y = mx + b.
2) Find the slope of the line connecting (-1, 3) and (1, 7).
2) Reinforce if two lines
are parallel or share the
same y - intercept.
3) Graph the line 3y = -3x + 12 below.
SELECT HOMEWORK ANTZAS:
We go over all of the homework starting with question 7.
TODAY’S LESSON
Before you can graph any line, you MUST make sure the line is in y = mx + b format.
Here are three examples we can graph below:
y - 2x = 1
4y – x = -12
2y = -6x
TEAM WORK:
1) Use the graph below to graph these three lines. Before you graph them but after
you get them in y = mx + b form, predict which ones will be parallel. Confirm it with
your graph.
line a: 2y - x = 6
!
line b: y = x - 2
!
line c: y + 4x = -8
INDIVIDUAL WORK:
1) Graph these three lines below:
State the slope and y – intercept of the line 3y + 2x = 9. Graph the line below.
THE HAPPY RECAP
What is the format you MUST put every line in when you go to graph it?
_____________________
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HOMEWORK:
Solve the following equations algebraically: SHOW ALL WORK
1) 5(w – 3) - 2(w – 1) = -38
2) 9n – 10 = 7n - 16
3) 5(x – 2) + x= 2(3x – 5)
4) Find three consecutive integers such that their sum is 42.
5) Mary makes money babysitting on both Friday and Saturday. On Saturday, she
makes 20 dollars more than she made on Friday. If the total amount Mary made was
$50, how much did Mary make on each day?
6) Simplify each.
(!! ! )!! !
a) (7w4)(-3w7)
b) (3 x 105)(9 x 109)
c)
e) 32⋅33
f) 50 + 8-1
g) (2 x 105) + (3 x 104)
!! !
d) -w3 + 5w3
7) Find the slope of the line connecting (-4, -1) and (5, -2).
8) Find the slope of the line connecting (-3, -5) and (1, 5)
!
9) Two lines are parallel. One of the lines has a slope of !. The other has a slope of
!
!
. Find the value of n.
10) Convert each of the lines to y = mx + b format. When done, state the slope and y
– intercept of each line.
a) 2y – x = 4
b) y - 3x = -1
c) 3y - 2x + 4 = 0
11) Graph the lines 2y - 4x = -2 and y - 2x = 5 on the coordinate axes below. Do you
work in the space available on the right. What do you notice about those lines? What
do you notice about their slopes?
12) Which doesn’t belong and why?
a) 10y = 6x + 10
b) 5y = -3x - 10
13) Which doesn’t belong and why?
a) 3y = 2x + 9
b) y – 5x = 3
!
c) y - x = 7
!
c) 3y = x - 9
!
14) Write the equation of a line whose slope is and y – intercept is 0.
!
15) Write the equation of a line whose y – intercept is 4 and slope is -3.