Eliminate the parameter t to find a simplified Cartesian equation of the form y = m x + b for {(x(t)= 5 - t),(y(t) = 2 - 4 t) :}
The Cartesian equation is y =
x(t) = 5 - t → t = 5 - x
y(t) = 2 - 4t so we have, by substitution...
y(x) = 2 - 4(5 - x) → y = 2 - 20 + 4x → y = 4x - 18
Here's a graph of both forms......the lines overlay each other........https://www.desmos.com/calculator/fahnek1aoa
x(t) = 5 - t → t = 5 - x
y(t) = 2 - 4t so we have, by substitution...
y(x) = 2 - 4(5 - x) → y = 2 - 20 + 4x → y = 4x - 18
Here's a graph of both forms......the lines overlay each other........https://www.desmos.com/calculator/fahnek1aoa