Arithmetic to Slope
Write the arithmetic equation in slope-intercept form and label each part.
an= a1 + d (n-1)
y = mx + b
y = slope/ pattern + 0 term
Name the first term and common difference:
y = -2x + 12
First Term = 10
Common Difference = -2
Write a table using the following numbers
3, 7, 11, 15
x y
1 3
2 7
3 11
4 15
What information is missing from the following that is not allowing you to write an equation in slope-intercept form?
(1, 4)
(2, 7)
(3, 10)
There is no 0th term so I can't write my "b" term.
Write an equation in slope-intercept form using the graph.
Graph shows points:
(0, 1)
(1, 3)
(2, 5)
y=2x+1
Name the slope and 0 term.
an = 2 - 5 (n-1)
Slope = -5
0 term = 7
Write the slope-intercept form as an arithmetic equation and label each part.
y = mx + b
an = first term + common difference (n-1)
Write an arithmetic equation using the numbers in the table below:
x y
-1 -3
0 0
1 3
2 6
an = 3 + 3 (n-1)
Write the arithmetic equation represented by the graph.
Graph shows points:
(1, 12)
(2, 9)
(3, 6)
an = 12 - 3 (n-1)
Write an equation in slope-intercept form using the graph.
Graph shows points:
(-1, -1)
(0, 0)
(1, 1)
(2,2)
y=x
*YOU GET TO STEAL 100 POINTS FROM ANOTHER TEAM IF YOU GOT THIS CORRECT!
Write the arithmetic equation in slope-intercept form:
an = 10 − 3 (n−1)
y = -3x+13
*YOU GET TO STEAL 100 POINTS FROM ANOTHER TEAM IF YOU GOT THIS CORRECT!
Write the slope-intercept form in an arithmetic equation.
y=4x+1
an = 5 + 4 (n−1)
Write an equation in slope-intercept form using the numbers in the table below:
x y
-1 5
0 -2
1 -9
2 -16
y = -7x-2
Write the arithmetic equation represented by the graph.
** SHOW GRAPH
an = -2 + 2 (n-1)
Write an equation in slope-intercept form using the graph.
** SHOW GRAPH
y = 2/3x
Write the arithmetic equation in slope-intercept form:
an=−8 − 4(n−1)
y = -4x -4
Write the slope-intercept form in an arithmetic equation.
y=−3x+10
an = 7 - 3 (n-1)
Write an equation in slope-intercept form using the numbers in the table below:
x y
2 7
4 4
6 1
8 -2
y=-3/2x+10
Write the arithmetic equation represented by the graph.
Graph shows points:
(0, 1)
(3, 7)
(6, 11)
(7, 13)
an = 3 + 2 (n-1)
*YOU GET TO STEAL 100 POINTS FROM ANOTHER TEAM IF YOU GOT THIS CORRECT!
Write an equation in slope-intercept form using the graph.
Graph shows points:
(0, 3)
(1, 3)
(2, 3)
y=3
Steve said an=5+3(n−1) would become y=3x+8.
Is Steve correct?
If not, write the correct answer.
No.
y=3x+2
Write the slope-intercept form in an arithmetic equation.
y = -5x − 12
an = -17 - 5 (n-1)
Write an arithmetic equation using the numbers in the table below:
x y
-3 -1
-2 6
-1 13
an = 27 + 7 (n-1)
Write the arithmetic equation represented by the graph.
The graph shows the points:
(0, 4)
(2, 8)
(4,12)
(6, 16)
an = 6 + 2 (n-1)
A student looked at the graph showing points:
(2, 6)
(4, 10)
The student wrote:
y=4x+2
What mistake did the student make?
They used 4 as the slope rather than finding the 3rd term to figure out what our slope should be.