Answer:
y = x + 4
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Give points
( 2 , 6) ( -2 ,2)
x1 = 2
y1 = 6
x2 = -2
y2 = 2
m = 2 - 6 / -2 - 2
m = -4 / -4
m = 1
y = mx + c
y = 1x + c
y = x + c
Step 2: sub any of the two points given into the equation
( 2 , 6)
x = 2
y = 6
y = x + c
6 = 2 + c
6 - 2 = c
c = 4
Step 3: sub c into the equation
y = x + 4
The equation of the line is
y = x + 4
4x + 5 - 5x
4 x 12+ 5
48 + 5 - 5
53 - 5
48
Answer:
Step-by-step explanation:
This is a system of equations. The 2 equations are:
4c + 2p = 16
2c + 3p = 12
Let's get rid of the p's first. Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:
-12x - 6p = -48
4c + 6p = 24
Now add to get
-8c = -24 and
c = 3
That means that chocolate is $3 per pound. Now sub that back in to either one of the original equations to get the price for peanuts:
4(3) + 2p = 16 and
12 + 2p = 16 and
2p = 4 so
p = 2
The price for peanuts is $2 per pound.
