working on point-slope form

Question

at 0 degrees Celsius, the volume of a gas is 22 liters. fro each degree, the temperature t (in degrees Celsius) the volume v (in liters)increases by 2/25 every degrees. Write an equation that represents the volume of the gas of the temperatur

Answer 1

Let

x = temperature

y = volume

 

The y intercept is 22

The slope is 2/25

 

The point-slope form of an equation is

y-y₁ = m(x-x₁), where (x₁,y₁) is the point given, (0,22) and m is the slope (2/25)

 

y-22 = 2/25(x-0)

y-22 = 2/25(x)

y = (2/25)x + 22