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Answer:
slope = -4
Step-by-step explanation:
Given the following points on the graph: (-1, 4) (1, -4)
Let (x1, y1) = (-1, 4)
(x2, y2) = (1, -4)
Use the following slope formula:
![m = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D)
![m = \frac{-4 - 4}{1 - (-1)} = \frac{-8}{1 + 1} = \frac{-8}{2} = -4](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-4%20-%204%7D%7B1%20-%20%28-1%29%7D%20%3D%20%5Cfrac%7B-8%7D%7B1%20%2B%201%7D%20%3D%20%5Cfrac%7B-8%7D%7B2%7D%20%3D%20-4)
Therefore, the slope of the line is -4
<span>Read the problem entirely.
Get a feel for the whole problem.
List information and the variables you identify.
Attach units of measure to the variables (gallons, miles, inches, etc.)
Define what answer you need, as well as its units of measure.
Work in an organized manner. ...<span>Look for the "key" words (above)</span></span>
3^3 is equal to 3 * 3 *3, which is equal to 27
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78