Final answer:
The equation 5x = -4 represents a vertical line with x always equal to -4/5, resulting in a line passing through the point (-4/5, 0) with an undefined slope.
Step-by-step explanation:
The equation given is 5x = -4, which can also be written as x = -4/5. This is the equation for a vertical line, which means that its value of x is always -4/5 and it does not depend on the value of y. Therefore, the correct graph would be option a): A vertical line passing through (-4/5, 0).
To graph this line, you simply plot the point where x is -4/5 along the x-axis and draw a line straight up and down through this point. The line does not intersect the y-axis, which means it does not have a y-intercept. This line will also have an undefined slope because vertical lines do not have a rise over run value as they run parallel to the y-axis and do not 'rise' at all when 'run' changes.