Multi-Step Equations
−13 = 5(1 + 4m) − 2m
m = - 1
4x + 8y = 20
−4x + 2y = −30
( 7, - 1)
What the the rule for rotating a shape 90 degrees?
( -y, x)
What is the longest side of a right triangle called?
hypotenuse
When finding slope, what should you write on your paper as to not mix anything up?
Change y / Change x
8 = 8v − 4(v + 8)
v = 10
y = x + 2
y = 3x – 2
( 2, 4)
What happens to a shape when you apply the rule ( x, -y)?
Reflect over the x-axis
What is a word that represents slope?
Per, Each, Every, Rate, Monthy, etc
What kind of a solution will a system have if both equations have the same slope and different y intercepts?
No Solution
8(4k − 4) = −5k − 32
k = 0
y = 3x – 2
2x – 2y = 8
( -3, -11)
Dilate the point by -3: (6, -4)
( -18, 12)
What is a word that represents the y -intercept?
Starting value, sign up fee, initial value, etc
What kind of a slope is a vertical line?
undefined
−5(4x − 2) = −2(3 + 6x)
x = 2
−7x − 2y = −13
x − 2y = 11
( 3, -4)
What rule was applied to these points?
( 5, 1) --> ( 8, -1)
( 3, 9) --> ( 6, 7)
( 2, 7) --> ( 5, 5)
( x + 3, y - 2)
This type of equation graphed will for a straight line
Linear function
When did I graduate High School?
2012
5(2x + 6) = −4(−5 − 2x) + 3x
x = 2
2x + y = 20
6x − 5y = 12
( 7, 6)
Translate the point ( x - 6, y + 2), then Rotate 270.
( -3, 8)
( 10, 9)
After translating a shape, we call the new shape a what?
Image
What is the name of my dog?
Bailey