Answer:
The slope is 7/7 or 1.
Step-by-step explanation:
Find any two points on the line. I chose (0,7) and (-7,0).
Put rise over run.
7-0
———
0 – -7
this would equal 7/7 which simplifies to 1.
Hope this helped!
Answer:
-7/4
Step-by-step explanation:
Recall that slope, m, is defined as the ratio rise to run: rise/run.
Note that if we start at x = -2 (an arbitrary choice), and move 6 units to the right, we end up at x = 4. This is the 'run.' Simultaneously, y starts at 1 and decreases to - 6, a change of -7.
Thus, the slope of the line through these two points is m = rise/run = -7/4
Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180
