Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)
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Answer:
School needs to collect at least 144 box tops each day to meet their goal.
Step-by-step explanation:
The total requirement of box tops = 2,000
The number of box tops they have already received = 872
So, the box tops left = Total number required- Number of tops received
=2,000 - 872
= 1,128 box tops are left so far.
Number of days left = 8
So, number of minimum tops needed each day = 
= 
Hence, they need to collect at least 144 box tops each day to meet their goal.
Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation