Find the equation of the line that passes through ( 10 , 6 ) and is perpendicular to y = 2 5 x − 9 .

; (1.8 meters per minute)

Step-by-step explanation:

Use dimensional analysis to solve this problem.

The proper units of conversion are given in parentheses on this question: 100 cm = 1 m.

Start with the given value, 3 centimeters/1 second.

Convert this rate to meters/minute by multiplying 3 cm/1 sec by 1 m/100 cm.

The top and bottom units should cancel out, so that's how you know to put the cm units on the bottom to cancel out with the 3 cm on the top.

Multiply the fractions together. The "cm" units cancel out.

Now you want to make the bottom units = minutes. There are 60 seconds in 1 minute, so you can use  to multiply with .

The "seconds" unit cancels out, so you are left with meters on the top and minutes on the bottom. Multiply the fractions together.

We want the rate to be meters per minute (1), so completely simplify this fraction and divide the fraction by (100/100), so the denominator is 1 min.

Step-by-step explanation: