Question

is (0, -47) a solution to the equation y = -91x + -47?
yes
no

Explanation:

Step1: Substitute x=0 into the equation

To check if \((0, -47)\) is a solution, we substitute \(x = 0\) into the equation \(y=-91x + (-47)\).
Substituting \(x = 0\), we get \(y=-91(0)+(-47)\).

Step2: Simplify the right - hand side

First, calculate \(-91\times0 = 0\). Then, \(y = 0+(-47)=-47\).
The \(y\) - value we get when \(x = 0\) is \(-47\), which matches the \(y\) - coordinate of the point \((0, -47)\).

Answer:

yes