4.6 Comparing multiple representations
Name: _________________ Per _____
Match each equation with its corresponding table and graph. Determine the slope and yintercept for each set. SHOW YOUR WORK on how you determined the slope and yintercepts. Matches will be from the same page.
1
A
E
x
-6
-4
-2
y
4
3
2
2
B
F
x
-2
2
4
y
0
2
3
3
C
G
x
-2
0
2
y
2
2
2
4
D
H
x
-7
-3
4
y
-5
-1
6
1. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
2. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
3. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
4. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
5
A
E
x
-1
0
2
y
-1
1
5
6
B
F
x
-8
-7
-6
y
-5
-4
-3
7
C
G
x
-4
3
4
y
4
-3
-4
8
D
H
x
-1
0
3
y
3
1
-5
5. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
6. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
7. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
8. Matches _______ (graph) and ________(table)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
9
A
E One less than negative
half of a variable.
10
B
F It is zero degrees
outside and the
temperature is dropping
2 degrees per hour.
11
C
G You have one dollar
and you borrow 2 dollars
from your sister every
week.
12
D
H The submarine is 1
kilometer below the
surface and descending
at a rate of 2 km per
hour.
9. Matches _______ (graph) and ________(words)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
10. Matches _______ (graph) and ________(words)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
11. Matches _______ (graph) and ________(words)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
12. Matches _______ (graph) and ________(words)
They all match because their slope is ________ and their y-intercept is ______ (SHOW WORK)
REVIEW
Graph each equation.
13.
14.
15.
Write each equation in slope-intercept form (y=mx+b). AND determine m & b.
16. y = 6x + 5 - 2x
17. y -4x = 3x + 8
18. -2 y = 9x -18
Y = ___________
y = ____________
y = ___________
m=
m=
m=
b=
b=
b=
Write in point-slope form. Your answer should look like: y – y1 = m(x – x1)
19. m = 3 point = (3,8)
20. m = -2 point = (7,-4)
21. m =
1
5
point = (-11,1)
Write the equation in point-slope form first, THEN change it into slope-intercept form.
Go from point-slope form: y – y1 = m(x – x1) to slope-intercept form: y=mx+b
22. m = 1 point = (4,2)
23. m = 2 point = (1,3)
24. m = -3 point = (3,4)
Write the equation of a line that goes through the 2 points. Write your asnwer as y=mx+b.
25. (4, 8) & (2, 4)
26. (4, -1) & (1, -4)
27. (7, 9) & (4, 12)