Review y=mx+b

Review
y=mx+b
Name___________________________
Period ________
Page 1 - Slope
Find the slope of the following lines. If the slope is undefined write “undefined”.
Make sure all slopes are in simplest form.
0. m = ________
1
1. m = ________
2
0
2. m = _______
Find the slope of the lines that pass through the following pairs of points.
3. (-2, -4), (-2, 6)
4. (4, 3), (-8, -6)
3. m = _________
4. m = _________
5. (2, 7), (4, 13)
6. (-2, 6), (-12, 6)
5. m = __________
6. m = __________
Solve these equations for y
7. y − 2 = −4( x − 3)
9.
2 y − 7 = 3 x − 10
8. y + 144 = 12( x − 5)
10.
3 x − 7 y = 63
page 2. Slope intercept form.
All answers on this page should be the equation of a line in slope intercept form.
Find an equation in slope intercept form ( y = mx + b) for the lines on the graph below.
11. _________________
13
12. _________________
13. __________________
11
12
14. __________________
14
90
15. __________________
80
70
60
50
40
30
15
20
10
50
100
150
200
250
300
350
400
450
500
Write the slope intercept form of the line with the given information.
16) m = ½ , b = -6
17) m = 5 , b = 2
16) _____________
17) _____________
18) slope is 12, y intercept is 7
18) _____________
•
Graph the data set
•
Draw a best fit line.
•
Find the slope and y intercept, (include units)
•
Write an equation for the line
•
Explain the real world meaning of the slope
•
Explain the real world meaning of the y intercept
Water in Bob’s Bathtub
Time after
pulling plug
(seconds)
10
20
35
45
60
70
90
120
140
150
160
165
170
Water in
bathtub
(gallons)
95
90
82
78
70
65
55
40
30
25
20
18
15
m = _________
b = _________
equation for line _____________________
meaning of slope _______________________________________________________________
_____________________________________________________________________________
meaning of y intercept __________________________________________________________
__________________________________________________________________________