finding slope – intercept from an equation steps : 1. equation must be in y = mx + b form 2. the...
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Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 112 xy
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 112 xy
b
mThe equation is already in y = mx + b form…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 112 xy
I like to draw a little wall IN FRONT of the + / - sign. It separates the slope and the intercept…
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 112 xy
The slope is the coefficient of “x” ( m )
b
m 2
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 112 xy
The y - intercept is the constant ( b )
11
2
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for7
4
3
2 xy
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for7
4
3
2 xy
b
mThe equation is already in y = mx + b form…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for7
4
3
2 xy
b
mI like to draw a little wall IN FRONT of the + / - sign. It separates the slope and the intercept…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for7
4
3
2 xy
b
m3
2
The slope is the coefficient of “x” ( m )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for7
4
3
2 xy
7
4
3
2
b
m
The y - intercept is the constant ( b )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 1534 yx
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 1534 yx
b
mEquation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
b
m
Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
b
m
Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
b
m
Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
b
m
Draw your wall….
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
b
m3
4
The slope is the coefficient of “x” ( m )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
53
4y OR
3
45
3
4
3
15
3
3
4153
4 4
1534
xxy
xy
xy
xx
yx
5
3
4
b
m
The y - intercept is the constant ( b )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 2147 yx
b
m
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for 2147 yx
b
m Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
4
21
4
7 OR
4
7
4
214
7
4
21
4
4
7214
7 7
2147
xyxy
xy
xy
xx
yx
b
m
Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
4
21
4
7 OR
4
7
4
214
7
4
21
4
4
7214
7 7
2147
xyxy
xy
xy
xx
yx
b
m
Equation IS NOT in y = mx + b form, so we need to solve for “ y “…
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
4
21
4
7 OR
4
7
4
214
7
4
21
4
4
7214
7 7
2147
xyxy
xy
xy
xx
yx
b
m
Draw your wall….
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
4
21
4
7 OR
4
7
4
214
7
4
21
4
4
7214
7 7
2147
xyxy
xy
xy
xx
yx
b
m4
7
The slope is the coefficient of “x” ( m )
Finding Slope – Intercept From an Equation
STEPS : 1. Equation must be in y = mx + b form
2. The slope is the coefficient of “x” ( m )
3. The y - intercept is the constant ( b )
EXAMPLE : Find the slope and y - intercept for
4
21
4
7 OR
4
7
4
214
7
4
21
4
4
7214
7 7
2147
xyxy
xy
xy
xx
yx
The y - intercept is the constant ( b )
4
21
4
7
b
m