Answer:
y=3/5x-3
Step-by-step explanation:
First, put the slope in point-slope form: y-y1=x(x-x1)
y+6=3/5(x+5)
Distribute 3/5 to (x+5) and simplify.
y+6=3/5x+3
y=3/5x-3
The length of the parametric curve (call it <em>C </em>) is given by

We have


Now,

so that the arc length integral reduces to

which has an approximate value of 53.4596.
Answer:
y = 2x - 4; Alex is 18.
Step-by-step explanation:
Since Alex is 4 years younger than 2 times his sister's age, and his sister is y and Alex is x, the function of y to x must be y = 2x - 4.
According to the rule, if Alex's sister is 11, Alex is 2 times that minus four. If you calculate that, you get
11 * 2 = 22
22 - 4 = 18
So Alex is 18 if his sister is 11.