Final answer:
The slope of line T, which is perpendicular to line S with a slope of 8/5, is -5/8. therefore correct option is a) -5/8
Step-by-step explanation:
To find the slope of the line perpendicular to line S, we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other. Since the slope of line S is 8/5, the slope of line T would be -5/8.
The question involves understanding the relationship between the slopes of perpendicular lines. In coordinate geometry, the slope of a line is a measure of its steepness, and the slopes of two perpendicular lines are negative reciprocals of each other.
If line S has a slope of 8/5, then the slope of line T, which is perpendicular to S, would be the negative reciprocal. Therefore, to find the slope of line T, you would flip the fraction and change the sign, resulting in a slope of -5/8.
therefore correct option is a) -5/8