Slope
X & Y intercepts
Slope-Intercept Form
Standard Form
Parallel & Perpendicular Lines
Miscilanious
100
Give 3 other words, concepts, or values that mean the same thing a slope.
rate
rise over run
m
common difference of an arithmetic sequence
speed
gradient
change in y over change in x
...
100
Which of the following points could be a y-intercept of a graph?
a. (15, 0)
b. (8, 2)
c. (0, -5)
d. (-1, -5)
c. (0, -5)
the y-intercept is always the point where the x-component is 0.
100
in the equation y = mx + b,
What does the b indicate?
the y-intercept of the graph
100
Robber Bonus:
Steal up to 200 Points from any other team.
How could you!?
100
At what angle do two perpendicular lines meet?
90˚ - a right angle
100
What is the greatest common factor of
24 and 56
8
200
Bonus Question:
Plus 400 Points.
You can give them to yourself or any other team you want.
Nice.
200
Which of the following points could be the x-intercept of a graph?
a. (-10, 0)
b. (35, 2)
c. (0, 12)
d. (-9, 2)
a. (-10, 0)
the x-intercept is always the point where the y-component is 0.
200
in the equation y = mx + b
what does the m tell you about the graph?
the slope of the graph
200
Which of the following linear equations are in standard form?
a. 3y = 15 - x
b. x + 3y = 15
c. y - 3 = 2(x - 4)
d. x = y + 2
b. x + 3y = 15
200
Give one thing that is the same and one thing that is different about a pair of parallel lines.
Same Slope
Different y-intercept
200
In a right angle triangle with height 10 and a base of 3, what is the length of the hypotenuse?
a2 + b2 = c2
102 + 32 = c2
109 = c2
√109 = c
300
What is the slope of the line
y = 3/4
0
its a flat line
y = 3/4 is the same as y = 0x + 3/4
300
What are the x AND y intercepts of the following equation:
4x + 7y = 56
Give the coordinate points of both
x-intercept: (14, 0)
y-intercept: (0, 8)
300
Wild Card: Add 1 to each of your digits in your score
Good for you.
300
Alyssa scored 54 points in her basketball game. What is the equation in standard form that shows how many of her shots could have been 2-pointers or 3-pointers?
2x + 3y = 54
OR
3x + 2y = 54
300
Fill in the following sentence with the correct words:
The slopes of perpendicular lines are __________ and __________.
The slopes of perpendicular lines are opposite and reciprocal.
300
FULLY simplify the following expression:
2x4y
400
What is the slope between the following two points?
(-5, 4) to (5, -4)
-8/10 = -4/5
400
What are the x AND y intercepts of the following equation:
y = 13
Give the coordinate points of both
y-intercept: (0,13)
x-intercept: Does not exist
400
what is the slope of the equation:
3y = (6/7)x + 9
3y = (6/7)x + 9
y = (2/7)x + 3
m = 2/7
400
Brian sold fruit at his stand. Apples cost $.40 and pears cost $.50 each. In an afternoon he sold 52 pieces of fruit and made $24.
Write an equation in Standard form the shows the combinations of apples and pears Brian sold.
x + y = 52
OR
0.4x + 0.5y = 24
400
Give an equation of the slope of a parallel line to:
y = 4 - 1/2x
Any line with a slope of -1/2
400
what is the 30th term in the following sequence?
1, 5, 9, 13, 17, ...
(1 is the 1st term)
an = 4(n-1) + 1
an = 4(29) + 1
an = 117
500
if a line goes through the point (12,15) and has a slope of -3/4, give another coordinate point on the line.
(16, 12)
(20, 9)
(24, 6)
(12 + 4n, 15 - 3n)
500
What are the x AND y intercepts of the following equation:
Ax +By = C
Give the coordinate points of both algebraically in terms of A, B, and C.
x-intercept: (C/A, 0)
y-intercept: (0, C/B)
500
What is the equation of the line (in slope intercept form) that passes through the following two points?
(6,8) --> (12,6)
y = (-1/3)x + 10
500
What is the equation of the line in standard form if it's y-intercept is (0,9) and it's x-intercept is (2, 0)?
9x + 2y = 18
500
Given an equation of a perpendicular line to
3x + 8y = 10
Any line with a slope of 8/3
500
If you have 5 songs on a playlist, how many different orders could you arrange those songs in?
Example:
12345
13245
54321
...
120
5 choices for song 1
4 choices for song 2
3 choices for song 3
2 choices for song 4
1 choice for song 5
1•2•3•4•5 = 120