Answer:
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
Step-by-step explanation:
(3,3), (5,7), and (6,9) are points on line A.
Use the coordinates of two of the points to find the slope of A.
Δy =7-9 = -2
Δx =5-6 = -1
Slope = Δy/Δx = 2
Equation for line of slope 2 that passes through (3,3):
y-3 = 2(x-3)
y = 2x-3
(3,0) and (5,0) are points on line B. They are horizontally aligned, so the equation for line B is y=0. Slope = 0.
You were given the equation for C: y = 3x+1. Slope = 3
In order of increasing slope:
B: y = 0
A: y = 2x-3
C: y = 3x+1
The number of recycle bins that the city gives to citizens:
7204 : 2= 3602
The number of recycle bins is left:
7204 - 3602= 3602
The largest number of bins that can be given in each group:
3602 : 23 = 156 (residual: 14)
=> There are 14 bins left over.
Answer:
Step-by-step explanation: x - 6
The given equation can be re-written as y = ---------
-3
Arbitrarily choose x = 0. Then:
x - 6 0-6
y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the
-3 -3 y-intercept
Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph
which happens to be the x-intercept
arbitrarily choose x = 12. Then y = (12 - 6) / (-3) = -2. Then (12, -2) is
another point on the
graph.
Plot (12, -2), (6, 0) and (0, 2). Draw a line through these three points.