Slope-Intercept Form
Standard Form
Transforming Linear Functions
x and y intercepts
100
Write the equation of each line in slope-intercept form: Slope is 3 and (1,5) is on the line.
y = 3x + 2
100
Rewrite each equation in standard form: y = 6x - 4
6x - y = 4
100
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= -x + 9
The slope is reflected and the line shifts up 9 units.
100
Find the x-intercept:
6x + 2y = 15
(2.5, 0)
200
Graph the following equation: y = 2x +3
200
Rewrite each equation in standard form: y - 2 = -(x +7)
x + y = -5
200
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= 3x.
The slope of g(x) is steeper than f(x).
200
Find the y-intercept:
8x - 5y = 80
(0, -16)
300
Write the equation of each line in slope-intercept form: Slope is 5 and (2,6) is on the line.
y = 5x -4
300
Rewrite each equation in standard form: y = (4/3)x - (2/3)
4x - 3y = 2
300
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= (1/4)x.
The slope of g(x) is flatter than f(x).
300
Which form of linear equation makes it easiest to find x and y-intercepts?
standard form
400
Graph the following equation: y = (-1/2)x -1
400
Use the information given to write an equation in standard form: Slope is 3 and (1,4) is on the line.
3x - y = -1
400
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= 7x -8.
The slope of g(x) is steeper and the y-intercept is 8 units lower.
400
What is the x-intercept?
(-4, 0)
500
Write the equation of each line in slope-intercept form: Passes through (-1,-5) and (-2,-6).
y = x - 4
500
Use the information given to write an equation in standard form: (25,34) and (35,50) are on the line.
8x - 5y = 30
500
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= (-3/4)x + 5.
The slope is reflected and flatter for g(x) and the line shifts up 5 units.
500
What is the x-intercept?
y = -2/3x - 4
(-6, 0)