Linear Functions features
What shape does a linear function create?
A line
Which letter in y=mx+b represents the slope?
m
What is the y-intercept of the following:
y=2x-1
y=-1
(0,-1)
What is the x-value of the following ordered pair:
(3,4)
x=3
What is an x-intercept?
When the graph hits the x-axis.
Also when y=0
What is the slope of the following equation:
(1/2)x+3=y
m=1/2
What is the y-intercept of the following:
y=x-1/2
y=-1/2
(0,-1/2)
Solve for x:
1+x=4
x=3
What is a y-intercept?
When the graph hits the y-axis.
Also, when x=0.
What is the slope in the following equations:
y=-4x+3
m=-4
What is the y-intercept of the following:
y=4352x+58
y= 58
(0,58)
solve for x:
3x-8=4
x=4
In the function y=mx+b, what does the b value represent?
The y-intercept.
Find the slope between the following two points:
(0,8)&(1,0)
m=-8
What is the y-intercept of the following:
3x+y=-4
y=-4
(0,-4)
Find the x and y intercept of the following:
3x-7y=21
Hint: remember the x-int is when y=0 and the y-int is when x=0
x=-3
y= 7
Does a linear function have a constant rate of change?
Yes, the slope is also known as the constant rate of change.
Find the slope between the following points:
(2,3) & (9,0)
-3/7
What is the y-intercept of the following:
6x+2y=-12
y=-2
(0,-2)
1+1
2