Answer:
Step-by-step explanation:
The form, y = mx + b is the slope intercept form of a straight line.
Where b = intercept
m = slope = (change in the value of y in the vertical axis) / (change in the value of x in the horizontal axis.
Slope = (y2 - y1)/(x2 - x1)
y2 represents final value of y = - 3
y1 represents initial value of y = 3
x2 represents final value of x = 3
x1 represents initial value of x = 0
Therefore,
slope = (- 3 - 3)/(3 - 0) = - 6/3 = - 2
To determine the intercept, we would substitute m = - 2, x = 3 and y = -3 into y = mx + b. It becomes
- 3 = - 2 × 3 + b = - 6 + b
b = - 3 + 6 = 3
The equation becomes
y = - 3x + 3
Answer:
0.1666666 repeated
Step-by-step explanation:
<u>Answer:</u>

<u>Explanation:</u>
Before we begin, remember that:
(
)ⁿ = 
This means that power is distributed in case of division
The given is:

Applying the above rule, we would get:
= 
Hope this helps :)
Answer:
14.38
Step-by-step explanation:
1. multiply the 5 packs of pencils times 0.79 each (5x0.79 = 3.95)
2. multiply the 8 packs of pens times 1.19 each (8x1.19=9.52)
3. add the total of pens and pencils together (3.95+9.52=13.44)
4. multiply 13.44 times 7% sales tax (13.44x.07=0.94)
5. add the total plus the sales tax (13.44+0.94=14.38
Answer:
147
Step-by-step explanation: