Let P be the point (1, −2) and ` be the line in given by the equation 3x + 4y = 12. (a) Find any vector L parallel to `. [1 pt] (b) Let B be the point (0, 3) which lies on `. Find P rojL −−→P B. [3 pts] (c) Let w = P roj⊥ L −−→P B. Find |w|, the shortest distance from P to `. [3 pts] (d) Find the point on ` which is closest to P.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.