Understanding linear functions
What is the linear function equation?
y=mx+b
y=3x+2
What is the slope and is it increasing, decreasing, or neither?
Slope is 3 and the graph will be increasing.
slope=5, (3, 13)
y=5x-2
(1, 1), (0,4)
y=-3x+4
In y=mx+b, what does m represent?
m represents slope.
y=-1/2x+4
What is the slope and is it increasing, decreasing, or neither?
Slope is -1/2 and it is decreasing
slope=2, (10, 17)
y=2x-3
(5, 4), (1, 1)
In y=mx+b, what does b represent?
b represents starting point/y-intercept.
y=-2+1/2x
What is the slope and is it increasing, decreasing, or neither?
The slope is 1/2 and it is increasing.
slope=-5/3, (3, –1)
y=-5/3x+4
(1, 3), (-5, -15)
y=3x
If the value of my m is negative, how will that affect my graph?
My graph will be decreasing.
3+2y=8x
What is the slope and is it increasing, decreasing, or neither?
Slope is 4 and it is increasing.
slope=-4, (-2, 9)
y=-4x+1
(4, 5), (-2, -4)
y=3/2x-1
If my m value is positive, how will that affect my graph?
My graph will be increasing.
y=2
What is the slope and is it increasing, decreasing, or neither?
Slope is 0 and it is neither increasing or decreasing because it is a horizontal line.
slope=3/2, (6, 8)
y=3/2x-1
(-4, 1), (5, -2)
y=-1/3x-1/3