Slope and y-intercepts
Arithmetic Functions Pieces
Parallel or Perpendicular
Table Equations
Arithmetic Sequences
100
y=2x+5
m = 2
100
What is the 3rd term in the sequence?
[Hint: No math needed]
8,10,12,14,16
12
100
y=3x-17 and y=3x-4
Parallel
100
The y-intercept of this table is...
0
100
Identify the common difference (d) in the arithmetic sequence formula: an=7+(n-1)-4
-4
200
y=-6x-7
m = -6
200
What is the common difference?
[Hint: 2nd term - 1st]
2,6,10,16,22,26
4
200
y=3/7x -12 and y=-7/3x +5
Perpendicular
200
The y-intercept of this table is...
2
200
Identify the a1 in the arithmetic sequence formula: an=6+(n-1)-5
6
300
What is the slope of the line that intersects the two points:
(1, 4) (2, 8)
m = 4
300
State the first term and the common difference:
-8, -3, 2, 7, 12
a1 = -8 and d = 5
300
What would the slope perpendicular to the equation y=4x + 3 be?
-1/4
300
The slope of this table is...
3 or 6/2
300
Find a16 given a1=9 and d=2
39
400
How do we know where the y-intercept is on a table for a linear equation?
We look for the y value when x equals zero.
400
What is a1 and d?
200,140,80,20,-40,-100
a1 = 200 and d = -60
400
What would the slope of a line parallel to the equation y = -1/2x + 7 be?
m = -1/2
400
The Slope of this table is...
-0.5 or -1/2
400
Find a50 given a1= 14 and d=-0.25
1.75
500
State the slope and the y-intercept. [Hint: you must solve for y.]
3x+4y=-8
m = -3/4 and y-intercept = -2
500
What is a1 and d?
4.5, 3.75, 3, 2.25, 1.
a1 = 4.5 and d = -0.75
500
Write the equation of a line parallel to the y=2x-1 through the point (1, 4).
y=2x+2
500
Is this table a linear function or an exponential?
Linear...the y-values are changing by the same thing every time.
500
Find the 132nd term of the sequence:
8,10,12,14,16
Use your formula: an = a1 + (n-1)d
270