Question

Match the graph with its equation. 1) -5x - 4y = -20 2) -5x + 4y = 0 3) 5x + 4y = -20 4) -5x + 4y = -20

Answer 1

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