Slope through two points
slope-intercept
slope-point
more slope
Rate of Change
101
Calculate the slope of the line containing (2, 9) and (7, 15)
6/5
101
Give an equation for the line with slope 23/5 and y-intercept 7
y = 2.6x + 7
101
find an equation for the line through the given point with slope m
(−5, 20), m = −0.5
y - 20 = −0.5(x + 5)
101
find the slope and y-intercept
y = 12x - 6.2
slope = 12, y-intercept = −6.2
101
Consider the following ordered pairs of hours worked and pay received: (12, $93.60), (15, $117.00), (17, $132.60)
Calculate the slope
39/7.8
200
Calculate the slope of the line through (−5, 1) and (−8, −8)
3
200
What is an equation for the line with slope s and y-intercept t?
y = sx + t
200
find an equation for the line through the given point with slope m
(18, −16), m = 0
y = −16
200
write x + 14 = 2y in standard form and give the values for A, B, and C
x + −2y = −14
A = 1
B = −2
C = -14
200
Find the rate of change of the number of subscribers from 1985 to 1990
42.6 subscribers per year
300
- 5/2
300
Find the slope
x + 2 y = −8
- 1/2
300
find an equation for the line through the given point with slope m
(30, 0.25), m = 3
y - 0.25 = 3(x - 30)
300
rewrite the equation in slope-intercept form
8x + 4y = 10
y = −2x + 5/2
300
Find the rate of change of the number of subscribers from 2000 to 2005
27.4 subscribers per year
400
The points (3, −1) and (5, y) are on a line with slope 2. What is y?
y = 3
400
Rewrite in slope-intercept form:
9x − 7y = −7
y = 9/7x + 1
400
find an equation for the line through the two given points
(3, 4), (1, 1)
y - 4 = 3/2(x - 3)
400
rewrite the equation in slope-intercept form
30x - 90y = 270
y = 1/3x - 3
400
Find the average rate of change of temperature per month from July to December
−13.6°F per month
500
The points (x, −6) and (2, 12) are on a line with slope −3/4 . What is x?
x = 26
500
Rewrite in slope-intercept form:
11x − 8y = −48
y = 11/8 x + 6
500
find an equation for the line through the two given points
(−3, −8), (−3, 8)
x = −3
500
1. Name the line that has a negative slope
2. Name the line that has a slope of 0
1. c
2. b
500
Between which two months is the rate of change of temperature per month the greatest?
March and April