Question

Pre-Calc
Pleas hurry, I don't know what to do

Answer 1

The slope of the line is 3.

Explanation:

Given function;

x(t) = -t² + 5t

y(t) = 3t, when t = 2

`(dx)/(dt) = -2t + 5`

`(dy)/(dt) = 3`

`(dy)/(dx)= (dy)/(dt) \ * \ (1)/((dx)/(dt) ) \\\\(dy)/(dx)= 3 \ * (1)/(-2t + 5) \\\\(dy)/(dx)= (3)/(-2t + 5)`

t = 2

`Then, \ (dy)/(dx)= (3)/(-2(2) + 5) \\\\(dy)/(dx)= (3)/(-4 + 5) \\\\(dy)/(dx)= (3)/(1) \\\\(dy)/(dx)= 3`

Therefore, the slope of the line is 3.