Final answer:
The equation -5x - 4y = -20 matches graph number 1. This equation represents a line with a slope of -5/4 and a y-intercept of 5. The graph that matches this equation is graph number 1.
Step-by-step explanation:
The equation -5x - 4y = -20 matches graph number 1.
First, let's rearrange the equation to the slope-intercept form y = mx + b where m is the slope and b is the y-intercept.
Rearranging the given equation, we get -4y = 5x - 20, and dividing both sides by -4, we get y = -5/4x + 5.
This equation represents a line with a slope of -5/4 and a y-intercept of 5.
Now, let's analyze the graphs to find the one with a slope of -5/4 and a y-intercept of 5, which matches graph number 1.
Learn more about Graphing linear equations