Let's find the slope for line t first.
We can use the given points 2,6 and 10,1 to find the slope using the slope formula.
[tex]\frac{y.2 - y.1}{x.2 - x.1} = m[/tex]
1 - 6 / 10 - 2
-5/8
The slope is -5/8.
Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.
When a slope is perpendicular to another, it is equal to the negative reciprocal.
Negative reciprocal of -5/8 = 8/5
The slope of line u is 8/5
