1. The problem asks us to find the value of $y$ when $x = -4$ for the equation $y = 2x - 5$. 2. The formula given is a linear equation: $$y = 2x - 5$$ where $2$ is the slope and $-5$ is the y-intercept. 3. To find $y$ when $x = -4$, substitute $-4$ into the equation: $$y = 2(-4) - 5$$ 4. Calculate the multiplication: $$y = -8 - 5$$ 5. Simplify the expression: $$y = -13$$ 6. Therefore, when $x = -4$, the value of $y$ is $-13$. This means the point $(-4, -13)$ lies on the line $y = 2x - 5$.