The required equation would be y = 48x which describes the relationship between distance and time, where x is for the time in hours and y is for the distance in miles.
Car X travels 144 miles in 3 hours.
X represents the time in hours and y represents the distance in miles.
Move 3 units to the right of the origin using the slope and
144 unit(s) up to locate the spot
(3,144), which may be used to plot the connection.
Let the required linear equation be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 0
x₂ = 3, y₂ = 144
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 0 = (144 - 0)/(3 -0 )[x -0]
⇒ y = (144/3)x
⇒ y = 48x