Proportional Relationships
What is the equation use for slope?
y = mx + b
Solve
24 - 7X = 10
X = 2
How many solutions can an equations have?
What are they?
3
One solution, No Solution, and Infinite solutions
How many equations does a system of linear equations have?
2
What is a cluster?
Where the data is very close together
What is another way to describe slope?
Unit rate, Rise over Run, Constant rate of change, constant of proportionality
-2 + 3y= 4
y = 2
How many solutions does this equation have?
5X + 2 = 5X + 8
No Solution
What do we see on a graph if the system has one solution?
The two lines intersect ( cross) at one point
What is a gap?
Where there is a space in the data.
What are the four different types of slope?
Positive, Negative, No Slope, and Undefined
Solve
11x-4=18
X = 2
Give me an example of an equation that has one solution.
Varies
What do we see on a graph if a system has no solution?
The lines will be parallel
What is an outlier?
A place in the data where it looks like it is away from all the other data.
Use to y2-y1
X2 -X1
to find the slope with these ordered pairs( 2,6) ( 4, 10)
x = -2
Give me an example of an equations that has infinite solutions.
Varies
Solve using substitution and give the ordered pairs
y = 5
-3x + 4y = 8
( 4, 5)
Name 3 types of transformations
Translation, Reflection, Rotation, or Dilation
A line has these ordered pairs:
( 0,2) ( 1,3) ( 2,4) ( 3,5)
What is the equation of these points in slope intercept form?
y = x + 2
Mrs. Forgues went to Petco with $30. She bought 13 dog bones and left the store with $4. Write an equation and what was the price of each dog bone?
30 - 13b = 4
b= 2
$2.00
How many solutions does this equation have?
2X + y = 14
y = -2x + 8
Explain how you know.
No solution
Solve using substitution and give the ordered pairs.
y = x - 3
4x - 10y = 6
( -6, -9)
What is the Pythagorean Theorem?
A 2 + B 2 = C2