Identify the slope and y intercept:
y = 2x - 3
slope: 2
y intercept: (0, -3)
Write the equation that is used the find the slope of a line when given to points
y2-y1 / x2-x1
f(x) = 3x + 4
Find f(2)
f(2) = 10
What is the domain?
{(1, 2), (3, 4), (5, 6)}
{1, 3, 5}
Graph the following:
y = 1/2x + 4
Start at (0, 4)
Rise 1, run 2
Find the slope:
(1, 2) and (5, 4)
1/2
f(x) = 3x + 4
Find f(-1)
f(-1) = 1
y = mx +b
What does m stand for?
What does b stand for?
m = slope
b = y intercept
Graph the following:
y = 3x - 1
Rise 3, run 1
Find the slope:
(5, 7) & (1, 7)
f(x) = 5x + 1
Find x if f(x) = 21
x = 4
Is the following relation a function? Why
{(1,1), (6, 5), (5, 8), (1, 2)}
No, each input does not have a unique output
Graph the following:
y = -1/3x + 2
Start at (0, 2)
Rise -1, run 3
Find the slope:
(4, 5) and (-1, 3)
2/5
f(x) = 3x + 4
Find x if f(x) = 82
x = 26
As a plane takes off, air traffic control records its altitude at different times. After 2 minutes, the plane is flying at 1,200 feet. After 8 minutes, it has reached 5,400 feet.
INDEPENDENT VARIABLE?
DEPENDENT VARIABLE?
Dependent: feet
Graph the following:
y = - 6 + 3x
Start at (0, -6)
Up 3 over 1
Find the slope:
(1, -2) & (5, 6)
2
f(x) = 2x - 3
g(x) = x + 5
Find x when f(x) = g(x)
x = 8
As a plane takes off, air traffic control records its altitude at different times. After 2 minutes, the plane is flying at 1,200 feet. After 8 minutes, it has reached 5,400 feet. Find the rate of change in the airplane’s altitude per minute.
700 feet per minute