Download Slope Intercept Form of a Linear Function

3-5c Review of Linear Functions
Name:____________________ Date:________ Period:_______
Slope Intercept Form of a Linear Function
Definition :
How to graph :
Formula for slope :
Example 1
m=
(slope)
Example 2
m=
(slope)
Example 3
m=
(slope)
How to find x-intercept :
y  3x  1
b=
(starting point)
y
2
x 1
3
b=
(starting point)
y
1
x
2
b=
(starting point)
How to find y-intercept :
3-5c Review of Linear Functions
Name:____________________ Date:________ Period:_______
Point Slope Form of a Linear Function
Definition :
How to graph :
Formula for slope :
Example 1
m=
y 1
m=
(slope)
Example 3
m=
(slope)
1
( x  3)
2
point =
(slope)
Example 2
How to find x-intercept :
(x1,y1)
y 5
1
( x  3)
4
point =
(x1,y1)
y  1  2( x  4)
point =
(x1,y1)
How to find y-intercept :
3-5c Review of Linear Functions
Name:____________________ Date:________ Period:_______
Standard Form of a Linear Function
Definition :
How to graph :
Formula for slope :
Example 1
A=
B=
C=
Example 1
A=
B=
C=
Example 1
A=
B=
C=
How to find x-intercept :
2x + 3y = 6
x int =
Slope =
y int =
x - 2y = 6
x int =
Slope =
y int =
x+y=4
x int =
Slope =
y int =
How to find y-intercept :
3-5c Review of Linear Functions
Name:____________________ Date:________ Period:_______
Line Study
1. Write at least 4 different equations in point-slope form, y – y1 = m(x – x1) , that describe this line.
For each equation, identify a point on the line and the slope, and use those to write the equation.
You will choose different points on the line, but use only one in each equation.
x
y
2. Write the equation in slope-intercept form (y = mx + b): __________________________________________
3. Circle the equation in standard form (Ax + By = C) that describes the linear function (do the intercepts of the
equation match the intercepts of the line?).
x + 2y = 2
x + 2y = -2
x – 2y = 2
-x – y = 2
-x + 2y = 2
4. Choose one equation from question 1 to convert to slope intercept form (solve for y).
5. Convert the equation that you circled in question 3 to slope intercept form (solve for y).
6. Compare the final equations in questions 2, 4, and 5. What do you notice about them?
-x – 2y = -2