Is this table a Direct Variation?
Yes! k=2
The following graph is a direct variation. How can you tell?
1. It is a straight line
2. It includes the origin
Write the equation of a direct variation with k = 3
y = 3x
Dre is trying to save up money. He manages to save $50 a week, and already has $300 in the bank. Write an equation that represents Dre's total savings, y, in terms of the number of weeks, x.
y = 50x + 300
Direct Variation
y = kx
Which table has a constant rate of change? What is the rate of change?
Table 2 [g(x)] has a RoC of 3
What are the coordinates of the y-intercept in this graph?
(0, 1)
Write the equation of a line with slope of 4 and a y-intercept of -7.
y = 4x - 7
Jackson decides to track how far from home he will be throughout the day, starting right after school. BAHS is 11 blocks from home. From school, he travels in the opposite direction from home, going 2 blocks every minute. When he's 35 blocks from home, he decides he's gone far enough. For how long has he been walking when he decides to go home?
12 minutes
Slope - Intercept Form
y = mx + b
What is the rate of change of the following table?
2
What is the slope of the following graph?
-4/5
Write the equation of a line with slope of -2 that passes through the point (1, -5).
y + 5 = -2(x - 1)
Ms. Mack loves playing Apex. She fires at N00bSauce at a rate of 180 damage over 4 seconds. N00bSauce fires back at her at a rate of 200 damage over 5 seconds. Who deals more damage per second, and how much damage per second do they deal?
Ms. Mack deals 45 damage per second, while N00bSauce deals 40 damage per second. Of course Ms. Mack deals more damage!
Point - Slope Form
y - y1 = m(x - x1)
Which of the following tables represents a straight line?
D
What is the equation of the following graph?
y = -2/3 x + 5
or
y - y1 = -2/3(x - x1) where (x1, y1) is a point.
Convert the following equation to Slope-Intercept Form:
4x - 2y = 30
y = 2x - 15
Priya is collecting Pokemon cards. An the first day, she has 60. On the second day, she has 63. On the third day, she has 66, and on the fourth day, she has 69. How many will she have after four weeks of collecting?
141
Standard Form
Ax + By = C
Does this table represent a function? How can you tell?
No, because one of the inputs (2) has TWO outputs! (Both 20 AND 40)
What is the equation of the following graph?
y = 2x + 4
or
y - y1 = 2(x - x1) where (x1, y1) is a point.
Write two equations that have the same solutions as the equation 9x - y = 5
Multiples of 9x - y = 5
Surprisingly, there were no fouls in Saturday's Basketball game, so all points were either 2-pointers or 3-pointers. In total, the winning team scored 88 points. Write an equation to represent the number of 2-pointers (x) and 3-pointers (y) that were made.
2x + 3y = 88
Slope / Common Difference / Rate of Change