Download 1-3 Slope-Intercept Form (write).notebook

1­3 Slope­Intercept Form (write).notebook
November 11, 2013
p.1
LT 1a: I can write an equation of a line in slope­intercept form. (y = mx + b)
unit 4
Define:
slope (m)
y
The ____________of the point Define:
y­intercept (b) where the line crosses the __________.
y = mx + b
Define:
Slope­ Intercept Form
How to write an equation in y = mx + b form
Ex. 1 Write an equation in slope­intercept form for the line.
1. 2. 3. 4. m =
b = eq:
(x, y)
Ex. 2
m =
b = eq:
(x, y)
x
1­3 Slope­Intercept Form (write).notebook
November 11, 2013
p.1
LT 1a: I can write an equation of a line in slope­intercept form. (y = mx + b)
unit 4
Define:
slope (m)
y
The ____________of the point Define:
y­intercept (b) where the line crosses the __________.
y = mx + b
Define:
Slope­ Intercept Form
1. 2. 3. 4. How to write an equation in y = mx + b form
Ex. 1 Write an equation in 1. Find the slope (m).
slope­intercept form for the line.
3. Substitute m and b into y = mx + b.
4. Check a (x, y) point in your equation.
Ex. 2
2. Find the y­intercept ( b).
x
1­3 Slope­Intercept Form (write).notebook
Ex. 3
Horizontal Line
November 11, 2013
m =
b = eq:
p.2
unit 4
(x, y)
Ex. 4 Vertical Line
m =
b = eq:
(3, 4)
(3, 0)
(x, y)
Summary:
CW
p.2­3 (1, 3, 4, 5)
P
p.2­3 (all)
For 1­9, write an equation in slope­intercept form for the line.
y
y
y
1.
3.
2.
x
x
x
m = ____ m = ____ m = ____ b = ____
b = ____
b = ____
equation: _____________
equation: _____________
equation: _____________
check: check:
check:
1­3 Slope­Intercept Form (write).notebook
y
4.
5.
November 11, 2013
y
6.
x
m = ____ m = ____ b = ____
b = ____
equation: _____________
equation: _____________
check: check: y
8.
p.3
unit 4
x
7.
y
x
m = ____ b = ____
equation: _____________
check: y
9. y
x
x
x
m = ____ m = ____ m = ____ b = ____
b = ____
b = ____
equation: _____________
equation: _____________
equation: _____________
check: check: check: "Remembering"
10.
Solve and check.
­8 = ­3.2 ­ 7.3x
11. ­4(x ­ 5) + 9x = ­5
1­3 Slope­Intercept Form (write).notebook
IF
Checking:
Box 1
Find the slope of each line.
m =
m =
m =
Grab an IF sheet
November 11, 2013
m =
Is (­3, 2) a solution to the equation?
y = ­3x + 7
1­3 Slope­Intercept Form (write).notebook
1­3
November 11, 2013
2­3
1­3 Slope­Intercept Form (write).notebook
November 11, 2013
p.1
LT 1a: I can write an equation of a line in slope­intercept form. (y = mx + b)
unit 4
Define:
slope (m)
y
y­coordinate
The ____________of the point Define:
y­intercept (b) where the line crosses the y­axis
__________.
y = mx + b
Define:
Slope­ Intercept Form
How to write an equation in y = mx + b form
1. Find the slope (m).
1. 2. Find the y­intercept (b).
2. 3. Substitute m and b into y = mx + b.
3. 4. Check a (x, y) point in your equation.
4. Ex. 1 Write an equation in 1. Find the slope (m).
slope­intercept form for the line.
3. Substitute m and b into y = mx + b.
4. Check a (x, y) point in your equation.
Ex. 2
x
2. Find the y­intercept ( b).
1­3 Slope­Intercept Form (write).notebook
Ex. 3 Horizontal Line
Ex. 4 Vertical Line
(3, 4)
(3, 0)
November 11, 2013
p.2
unit 4
1­3 Slope­Intercept Form (write).notebook
November 11, 2013
Summary:
All linear lines have a y = mx + b equation.
Horizontal
V
e
r
t
i
c
a
l
1­3 Slope­Intercept Form (write).notebook
November 11, 2013
CW p.2­3 (1,3,4,5) P p.2­3 (all)
SHOW WORK!
1.
1345
3.
4.
5.
1­3 Slope­Intercept Form (write).notebook
November 11, 2013
p.2­3 answers
1.
1
y = x + 2
2
x = ­3
­1
y = x
3
3.
y = 3x + 2
5.
4.
7.
2.
y = ­1
6.
­3
y = x + 4
2
8.
5
y = x + 3
3
y = 3x + 4
9. y = x + 249
143
50
or
y = 2.86x + 249
10.
x ≈ 0.66
11.
x = ­5