Identifying Linear Functions
What is the slope intercept form of a linear function?
y=mx+b
What is the point where the graph intersects the x axis called?
The x intercept
What is the slope of a horizontal line?
Zero
Write the equation in slope intercept form if the slope is 2 and the y-intercept is (0,0).
y=2x
What type of lines have the same slope?
parallel lines
What is the standard form of a linear equation?
Ax+By=C
Find the x intercept: 2x- 4y=8
x=4
What is the slope of a vertical line?
Undefined
Write the linear equation: Slope=-7 ; (4,2)
y=-7x+30
Is the function linear? If so, rewrite in slope intercept form: -x+y=3
Yes, it can be written as y=x+3
Find the x and y intercepts of 3x+4y=24
x=8 and y=6
Find the slope of (4,-2) and(-1,2)
What is -4/5
Write the equation that the table represents.
X| 2 3 4 5 6
Y| 10 7 4 1 -2
y= -3x+16
Find the slope given the two points: (-5,3) and (2,-7)
-10/7
Tell whether the table represents a linear function:
X| 2 3 4 5 6
Y| 3 5 8 10 13
No, there is no constant slope (3->5 is +2, but 5->8 is +3)
Rewrite in slope-intercept form 3x- 2y=12
y= 3/2x - 6
Find the slope of (2,3) and (6,2)
What is -1/4
Write the equation that the table represents.
X| 0 3 6 9 12
Y| 3 5 7 8 9
y= 2/3x + 3
Write this equation: slope=-4, (-1,-2)
y=-4x -6
Is the following table a linear function?
X| -1 0 1 2 3
Y| 3 6 9 12 15
Yes it is linear! Constant slope of 3
Rewrite the equation in slope-intercept form
2x + 4y=8.
y=-1/2x + 2
Find the slope of the equation: 6x + 5y=30
What is 6/5
Write the equation that the table represents:
X| 2 4 6 8
Y| -2 -5 -8 -11
y= -3/2x +1
Write the equation: (1,-4) and (3,2)
y=3x -7