Final answer:
To determine the slopes of GH and RS, apply the slope formula from the equation y = mx + b. If their slopes are equal, they are parallel. If the product of their slopes is -1, they are perpendicular.
Step-by-step explanation:
To determine the slopes of lines GH and RS, you would need to find the rate of change of the dependent variable (usually represented as y) with respect to the independent variable (typically represented as x) for each line. This can be done using the slope formula m in the equation of a straight line, which is y = mx + b, where m is the slope and b is the y-intercept.
If both lines GH and RS have the same slope, then they are parallel. If the product of their slopes is -1, they are perpendicular. If one has a positive slope and the other has a negative slope, they are moving in opposite directions, indicating a negative relationship between the two variables they represent.
For example, if the slope of GH is positive, it means that as x increases, y also increases, which is a positive relationship. Similarly, if the slope of RS is negative, as x increases, y decreases, indicating a negative relationship. Knowing whether the slopes are positive or negative, equal or inverses, can help conclude the relationship between GH and RS.