Slippery Slope
What is a slope?
The measure of steepness, the greater the slope, the steeper the slope
What is the definition of rate of change?
ROC is the ratio of the change in the output (dependent variable) to the change in the input (independent variable)
Solve for b
10b=50
b=5
Fact or Fiction
When combining like terms, you can only combine variables that are in the same format
Fact
only terms with the same variable can be combined
In = 2,4, 5, 7,9
Out = 5, 7, 8, 10, 12
What is the function rule?
Rule: add 3
What is formula for slope?
Slope = rise / run OR Slope= vertical height / horizontal distance
what two operations are used to find rate of change
1. subtraction/ addition
2.division
What is the goal of solving equations?
Isolate and solve for the variable
Fact or Fiction
When solving two-step equations, we remove the coefficient, THEN the constant
Fiction
we remove the constant first, then the coefficient
Input= -1, 3, 8, 9, 11
Output= -8, 24, 64, 72, 88
What is the function rule?
Multiply by 8
What are the types of slopes we covered in class?
1. Positive Slope
2. Negative Slope
3. Zero Slope
4. Undefined Slope
What is the formula for ROC?
The difference in the y-value divided by the difference in the x-value
Solve for s
s-16 =13
s=29
Fact or Fiction
An undefined slope is identified as a vertical line
Fact
What is the value of f(9)?
f(x) = 0.7x + 0.3
f(9) = 6.6
Find the slope of the given points
(3,-9) and (-6, -4)
5/3
Find the slope of the given points
(3,-9) and (-6, -4)
5/3
Solve for y
6y-5=7
y = 2
True or False
Is the following data a function?
Input: (-3,-2, 0, -1, 5)
Output: (-4, 2, 1, -4, 9)
False, every input does not have its own unique output
What is the value of f(x) if x is -10?
f(x) = -0.4x + 20
f(-10) = 24
Find the slope of a line that passes through the given two points using the ratio method
(0,-3) and (-5,2)
5/-5= -1
Find the slope of the given points
(-7,8) and (4,1)
slope = -7/11
Solve for t
42 + 5t = 8t
t =14
Fact or Fiction
When finding the ROC, we subtract y subscript 1 from y subscript 2, and x subscript 1 from x subscript 2
Fact, that is the formula for ROC
What is the value f(x) = 7-2x
When x = 6?
f(6) = -5