Solve: 3 + a = 10
a = 7
Slope Formula
y2-y1/x2-x1
If two lines have the same slope and different y-intercepts, they are _________ and have ___________
parallel
no solutions
Linear or Nonlinear
y = 3x - 52
Linear
Solve: 6 = y - 3
y = 9
Slope-Intercept Form
y = mx + b
Solve for the intercepts:
10x-15y=30
x-intercept: (3, 0)
y-intercept: (0, -2)
What is the y-intercept of y=3x-8?
Write as a coordinate pair (x, y)
(0, -8)
Function or Not a Function
(1, 7), (3, 8), (3, 6), (6, 5), (2, 11), (1, 4)
Not a function
Solve: 4 + 2c = 8
c = 2
Pythagorean Theorem
a2 + b2 = c2
What is the measure of a lines steepness?
slope
True or False: A circle would pass the vertical line test for a function
False
True or false: (2-5)^2=9
True
Solve: 15 = 3d-3
d = 6
If the formula for the volume of a cone is:
V = (1/3)pi*r2*h
What is the volume of a cone with a radius of 4cm and height of 12cm?
~200 cubic centimeters
How to graph y=2/5x+4
Plotting the y-intercept at (0,4) and use the slope to to go up 2 and to the right 5
OR you could down 2 and to the left 5
In a situation where a fountain is filled with water over time, what does the y-intercept represent?
The starting amount of water.
Simplify by following the order of operations:
Solve: -3(x+5) = 2x-5
x = -2
Area of a Triangle
A=1/2B*H
Write an equation to complete the system with INFINITE SOLUTIONS that already has y=-2(x+2) as one of the equations in the system.
An equivalent equation with the same slope and y-intercpept
Find the slope of the line passing through the following points: (-4, 0) and (-3, -2).
What is -2.
Linear or Nonlinear?
x | 1 | 2 | 3 | 4
y | 5 | 10 | 15 | 20
Linear