Clickers
Bellwork

Write an equation that satisfies the following criteria



Passes through (3,4) and m=3
Passes through (-2,2) & (1,8)
A carnival charges an entrance fee and a ticket fee.
One person paid $27.50 and bought 5 tickets, while
another paid $45 and bought 12 tickets. How much
would 22 tickets cost
Bellwork Solution

Write an equation that satisfies the following criteria

Passes through (3,4) and m=3
A. y
B. y
C. y
D. y
 3x  4
 4x  3
 3x  5
 3 x  13
Bellwork Solution

Write an equation that satisfies the following criteria

Passes through (-2,2) & (1,8)
A. y  2 x  6
B. y  2 x  10
C. y  6 x  14
D. y  2 x  8
E . y  2 x  8
Bellwork Solution

A carnival charges an entrance fee and a ticket fee.
One person paid $27.50 and bought 5 tickets, while
another paid $45 and bought 12 tickets. How much
would 22 tickets cost?
bb
mx
y 227y.51 17.50 yy  mx
45
A.$50
2
.
50
y

2
.
50
(
22
)

15

5
x12

x
B
.$62.50
45

2
.
50
(
12
)

b
7
2
1
C.$67.50
y45553015b
D.$70
y 70
15
b
Write Linear equations in
Point-Slope Form
Section 5.3
The Concept


Yesterday we spent learned how to take a point and a slope to
write a linear equation
Today we’re going to take a look at a another linear form, that
can aid us in our efforts to write linear equations
Point Slope Form




As we’ve already seen, linear equations are often just various
rewritten iterations of the same equation
It make sense then that there is a form that exists that
combines a point and a slope
This form is cleverly named, Point Slope Form. Today we’re
going to talk about Point Slope Form
It’s common form can be seen a
y  y1  m( x  x1 )

This form is based on the ideas presented by slope intercept
form
Point Slope Form

Let’s look at how we can take this back to slope intercept form
y  y1  m( x  x1 )
y  y1  mx  mx1
y  mx  b
y1  mx1  b
y  mx  mx1  y1
y1  mx1  b
y  mx  b
Point Slope Form


Let’s do an example involving this form
Write an equation for a line with slope 2 and passes through
the point (4, -3)
y  y1  m( x  x1 )
y  3  2( x  4)
y  3  2( x  4)
y  2( x  4)  3
Point Slope Form

We can also easily convert this form back to slope-intercept
form
y  3  2( x  4)
y  3  2x  8
y  2 x  11
On your own

Write an equation for a line with slope 5 and passes through
the point (8, -5)
A. y
B. y
C. y
D. y
 8 x  35
 5 x  35
 8 x  45
 5 x  45
On your own

Write an equation for a line with slope of ½ and passes
through the point (-4, 1)
A. y  x  1
1
2
B. y  x  3
1
2
C. y  x  3
1
2
D. y  x  1
1
2
Practice
You are designing a sticker to advertise your band. A company
charges $225 for the first 1000 stickers and $80 for each
additional 1000 stickers. Write an equation that gives the
total cost (in dollars) of stickers as a function of the number
(in thousands) of stickers ordered.
A. y
B. y
C. y
D. y
 80( x  1)  225
 80 x  1225
 80 x  1000
 80(225 x  1000)
Homework
5.3 Exercises
1, 2, 7-19 odd, 45-52 even
Practice
Example 5, page 295
A.Yes,C  100n  150
B.Yes,C  50n  50
C. No, it changes to much each time
D. No, the linewould be curved
Most Important Points


Point-Slope Form
Changing between forms