Y=mx+b
m=slope
b=yintercept
slope=(y1-y2)/(x1-x2)
(x,y)
x1=6
y1=-4
x2=-6
y2=2
(-4-2)/(6-(-6))=-6/12=-1/2
y=-1/2x+b
subsitute one point
(6,-4)
x=6
y=-4
-4=1/2(6)+b
-4=3+b
subtract 3
-7=b
y=-1/2x-7 is answer
Answer:
Cranberry juice needed to fill the bottle = 5.2 cups
Step-by-step explanation:
sports drink mix:
Orange juice = 25%
Cranberry juice = 65%
Sprite = 10%
His bottle holds 8 cups of drink.
How much cranberry juice does she need to fill the bottle?
Cranberry juice needed to fill the bottle = 65% of 8 cups
= 65/100 × 8
= 0.65 × 8
= 5.2 cups
Cranberry juice needed to fill the bottle = 5.2 cups
Orange juice needed to fill the bottle = 25% of 8 cups
= 25/100 × 8
= 0.25 × 8
= 2 cups
Orange juice needed to fill the bottle = 2 cups
Sprite needed to fill the bottle = 10% of 8 cups
= 10/100 × 8
= 0.1 × 8
= 0.8 cups
Sprite needed to fill the bottle = 0.8 cups
Let the 2 numbers be x and y
x+ y = 35
let the larger number be x
3x = 4y
y = 3x/4
so,
x + 3x/4 = 35
7x/4 = 35
x/4 = 5
x = 4*5 = 20
so the larger number is 20.