Answer :

The slope of the line u is -8/7.

What is a line?

⇒ A mark connecting two points, something stretched between two things, or two or more people standing in a row is called a line.

What is a slope?

⇒ The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

What is the rule for the slope of perpendicular lines?

⇒ The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1 / m.

Calculation:

It is given that the line u and the line t are perpendicular to each other

We also know that If two lines are perpendicular to each other, then their slopes will be negative reciprocals of each other.

We have been given that the line t has a slope of 7/8, Its negative reciprocal will be the slope of line u

Slope of line u = -{1/(7/8)}

= (-8/7)

⇒Hence, the slope of the line u is -8/7.

Learn more about the slope of perpendicular lines here:

brainly.com/question/1417258

#SPJ9