Answer:
-1
Step-by-step explanation:
-5 + 3 = -2
3 - 1 = 2
-2/2 = -1
The slope is -1
The answer to your question is 10:20
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
We have one point at (-5,-1) and there is another point at (1,-5)
The slope is
m= (y2-y1)/(x2-x1)
= (-5--1)/(1--5)
= (-5+1)/(1+5)
= -4/6
=-2/3
The point slope form of the equation is
y-y1 = m(x-x1)
y--1 = -2/3(x--5)
y+1 =-2/3( x+5)
Distribute
y+1 = -2/3 x -10/3
Subtract 1 from each side
y +1-1 = -2/3 x -10/3 -1
Get a common denominator
y = -2/3 x -10/3 -3/3
y = -2/3 x - 13/3
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4