Y-intercept
Slope
Mid-point
Solutions
Perpendicular or Parallel
100
The constant in a function.
y-intercept
100
The "m" in y=mx+b
the slope
100
m=(x1+x2)/2,(y1+y2)/2
the mid point formula
100
3(x+5)=−4x+8 How many solutions is there to this equation?
Exactly one
100
When two equations have the same slope is called ___________
Parallel Line
200
2 in the equation 2x+5y=10
y-intercept
200
m=y2-y1/x2-x1
the slope formula
200
find the mid point of point A(5,2) and B(7,10)
6,6?
200
−15y+7+17y=2y+70 Does this equation have none, one, or infinite solution(s)?
none
200
When the slope of two equations is the opposite reciprocal of the other is called _________
Perpendicular Line
300
A taxi service charges a $10 flat fee plus $3 per mile traveled. What would be the y-intercept of the equation?
C(x) = 3x + 10 y-intercept= 10
300
Find the slope of (4,10) and (2,3)
7/2
300
The Lotto Mart is mapped on a coordinate grid with the origin being at the main entrance. The chocolate bar is located at the point (-1, 3) and cake house is located at (1, 5). What is the midpoint between the two?
(0,4)
300
How do you determine solutions in an equation?
You have multiple ways of doing so, you can; solve by graphing, solve by elimination, and solve by substitution.
300
y=2x+3 y=-1/2+3 Parallel or Perpendicular
Perpendicular
400
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. What is the y-intercept in the equation?
y = $300x + $40,000. y-intercept=$40,000
400
Point A(6,4) B(3,9) C(-4,2) for a triangle. What is the slope of line AB?
-5/3
400
A certain university is mapped on a coordinate grid with the origin being at the library. Math’s building is located at the point (1,5) and the History’s building is located at (4,9). Where is the midpoint between the two buildings located?
(5/2,7) or (2.2,7)
400
13(y+3)=13y+39 Alesha says this has one solution. Is she right? If so, explain how she's right or wrong?
She's incorrect because this problem has more than two or more solutions.
400
y=7x+4 y=7x+8 Parallel or Perpendicular?
Parallel
500
Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. Write an equation and determine the y-intercept.
C=15n+150 y-intercept= 150
500
Ernest's house is at point H(7,2). Bryant's house is at point I(6,4). Robert's house is a point J(8,-2). What is the slope of the line from Robert's house to Ernest's house?
-4
500
You're currently at the point (4.23,2.36). In order to receive the pizza you ordered, the driver has to drive from (5.2,3.6). He makes a stop at (2,3). Did he stop at the midpoint? If he did or did not, explain how.
He did not stop at the midpoint because when you add x1 and x2 and divide by 2 you do not get 2. However, you should get 4.715. Also, when you add y1 and y2 you should not get three, instead you should get 2.98. So the midpoint is (4.715,2.98)
500
−7x−10−15x=−22x+83 How many solutions is there in this equation?
None
500
y=6/4x-2 y=-4/6x+2 Parallel or perpendicular? After you determine the type of line, change both equations to standard form.
Perpendicular and -6/4x+y=1 4/6x-y=1
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