Slope
What is the slope?
y = -7x + 12
-7
What is the y-intercept?
y = 3x + 4
4
y = 3(0) + 4 = 4
Graph the following points and write the slope intercept form:
(-2,3), (0,0)
y = -3/2x
(0 - 3)/(0 - -2) = -3/2
What is the Slope Intercept Form for
slope = -2 y intercept = 4
y = -2x + 4
Topher opens a savings account with $432 he was gifted. He then added $13 a day. What is the rate of change for his savings account? What is the equation for this account?
y = 13x + 432
What is the slope?
line with the points (2, -1) and (3,11)
12
(11- -1) / (3 - 2) = 12 / 1 = 12
What is the y-intercept?
y = -7x - 2
-2
y = 7(0) - 2 = -2
Graph the following points and write the slope intercept form:
(-2,-7), (1,5), (3, 13)
y = 4x + 1
What is the Slope Intercept Form for the line with the points (6,1), (-3,-2)
y = 1/3 x - 1
Slope: (1 - -2) / (6 - -3) = 3/9 = 1/3
-2 = 1/3 (-3) + b => -2 = -1 + b => -1 = b
y = 1/3 x - 1
Marcus invested $75 for a printer. It costs him $15 a day to run the printer. What is the function rule for the cost for Marcus to run his printer?
y = 15x + 75
What is the slope?
line with the points (0,4) and (4,0)
-1
(0 - 4) / (4 - 0) = -4/4 = -1
What is the y-intercept?
line with the points (0,-1) and (1,2)
-1
The y intercept will always have a x = 0.
Graph the following:
y = 2/3 x + 4
What is the slope and the y-intercept
slope = 2/3
y intercept = (0,4)
What is the Slope Intercept Form for
x. -5 0 5
y. 13 17 21
y = 4/5 x + 17
slope: (21 - 17) / (5 - 0) = 4/5
17 is the y intercept
Which has the greater initial investment?
a) (4days, $300), (7days, $450)
b) Cost = 7(days) + $100
c) same investement
c) They have the same investement
a) (450 - 300) / (7-4) = 150/3 = 50
300 = 50(4) + b => 300 = 200 + b => b = $100
b) $100
What is the slope?
line with the points:
X -1 2 3
Y 4 -5 -8
-3
(-8 - -5) / (3 - 2) = -3/1 = -3
What is the y-intercept?
line with points (3,4) and (-3,2)
3
slope: (4 - 2)/(3 - -3) = 2/6 = 1/3
4 = 1/3(3) + b. => 4 = 1 + b => 4-1 = b = 3
Graph the following and write the slope intercept form:
x -4 0 4
y -2 -1 0
y = 1/4 x -1
What is the Slope Intercept Form for the line with the points (17, 3) and (15, 9)
y = -3x + 54
slope = (9-3)/(15-17) = 6/-2 = -3
9 = -3(15) + b => 9 = -45 + b => b = 54
Which has the greater rate of change?
a) y = 2x - 1
b) (-1, 3), (5,-3)
c) same
a
a) rate of change: 2
b) rate of change: (3 - -3)/(-1 - 5) = 6/-6 = -1
What is the slope?
line with the points (4,3) and (7, 3)
0
All horizontal lines has a slope of 0.
What is the y-intercept?
X. -1. 1. 2
Y 15. -3. -12
6
Slope: (-12 - -3) / (2-1) = -9/1 = -9
15 = -9(-1) + b => 15 = 9 + b => 15 - 9 = b
b = 6
Graph the line with a slope of 3 goes through point (0,14)
y = 3x + 14
What is the Slope Intercept Form for the line with the points (63,55) and (81,71)
y = 8/9 x - 1
slope: (71-55)/(81-63) = 16/18 = 8/9
55 = 8/9(63) + b => 55 = 56 + b => 55 - 56 = b
b = -1
Which function has the greater rate of change?
a) y = 3x - 4
b) (2,1), (3,7)
c) (7,18), (12,38)
B Rate of change is 6
a) 3
b) (7-1)/(3-2) = 6/1 = 6
c) (38-18)/(12-7) = 20/5 = 4