The problem asks to simplify the equation $-2x - 5y = 5$, find the x-intercept and y-intercept, and then graph the equation.

1. Problem Description

The problem asks to simplify the equation $-2x - 5y = 5$, find the x-intercept and y-intercept, and then graph the equation.

2. Solution Steps

First, let's find the x-intercept. The x-intercept is the point where the line crosses the x-axis, which means $y = 0$. Substituting $y = 0$ into the equation:

$-2x - 5(0) = 5$

$-2x = 5$

$x = -\frac{5}{2}$

So the x-intercept is $(-\frac{5}{2}, 0)$ or $(-2.5, 0)$.

Next, let's find the y-intercept. The y-intercept is the point where the line crosses the y-axis, which means $x = 0$. Substituting $x = 0$ into the equation:

$-2(0) - 5y = 5$

$-5y = 5$

$y = -1$

So the y-intercept is $(0, -1)$.

The equation is already in a simplified form. We have the two intercepts which can be used to draw the graph.

3. Final Answer

x-intercept: $(-2.5, 0)$

y-intercept: $(0, -1)$