Mateo puts 6 gallons of gas into his car and pays 15$ what is the cost of 1 gallon of gas

1 gallon of gas = $2.5

Step-by-step explanation:

If you are finding the rate just set up the ratio equation.

6 gallons = $15

6 : 15

6/15

Now you want to find the price of 1 gallon, with x as being the price.

6/15 = 1/x

Cross multiply

6 · x = 1 · 15

6x = 15

Solve x.

x = 15 ÷ 6

x = 2.5

they give you two points... so use the point slope formula with one on the points

y - y1 = m ( x - x1)

Step-by-step explanation:

find the slope m  

m = y2 -y1 / x2-x1

from the given.. x1=2  and y1 = -5

x2 = 3  and y2 = -1     then,

m = -1 -( -5) / 3 - 2

m = 4/1

m = 4

now plug in to the point slope formula  either of the points... I'll use the 1st point

y - 2 = 4(x -(-5))

y -2 = 4(x +5)

y -2 = 4x +20

y = 4x +22  

there you go... see? :)  also why are you working on HW now.. ?? :/ isn't it winter break?