LT 7: I can write and graph equations in Standard Form.
What is Standard form?
Write equivalent equations.
How to write
an equation in Standard form.
p.39
Ax + By = C
x + y = 3
7x ­ 21y = ­49 12x + 6y = 3
1. find slope
2. write equation in y ­ y1 = m(x ­ x1)
3. rewrite equation in y = mx + b
4. rewrite equation in Ax + By = C
5. check
Write an equation in Standard Form of the line.
slope: _____
point: _____
Write an equation in Standard Form of the line that passes through the 2 points.
point 1: (3, ­1)
point 2: (2, ­3)
A dog kennel charges $20 per night and $5 per doggie treat. b) Graph the a) Write an equation that equation.
models the possible combinations of nights and treats you can buy for $100.
x y
p.40
y
x = ______________
y = ______________
Ax + By = C
x
Summary:
CW p.40­42 (1,3,6,11,13,15)
P
p.40­42 (all)
Write two equations in Standard Form that are equivalent to the given equation.
2)
1)
Write and equation in Standard Form of the line that passes through the given point and has the given slope m.
3)
4)
5)
Check:
Check:
Check:
Write an equation in Standard Form of the line that passes through the given points.
6)
(2, ­1) (4, 5)
Check:
7)
p.41
(­8, 3) (­9, 5)
Check:
8) A cat sitter charges $10 per night and $2 per cat treat. b) Graph the a) Write an equation that equation.
models the possible combinations of nights and treats you can buy for $50.
x y
y
x = ______________
y = ______________
Ax + By = C
x
"Remembering"
Write an equation in slope­intercept form with the given information.
9) slope: 9
10)
y­intercept: ­1
slope: ­4
p.42
11) point: (­3, 8)
point: (3, ­1)
point: (6, 2)
12) Evaluate g(x) = ­3x + 5 when g(­2).
13)
14) Write an equation for the line.
15) Write an equation for the line.
Given the function f(x) = 6x + 9, find f(x) = 21.
y
y
x
16) What is a function?
x
2­4
check
1­4
check
5­8
check 7­8 check
check 11­12 check
check 15­16 check
9­12
13­16
make corrections
17­20
21­24
25­27
28­30
check 19­20 check
check 23­24 check
check 27
check
check 29­30 check
make corrections
31­34
35­38
39­42
check 33­34 check
check 37­38 check
40­42
CW
P
p.40­42 (1,3,6,11,13,15)
p.40­42 (all)
Show all work!
answers
p.40
p.41
p.42