Adirect variation always goes through the origin of the coordinate plane.
a. true
b. false

Answer :  The given statement is TRUE.

Step-by-step explanation:  The given statement is

"A direct variation always goes through the origin of the coordinate plane."

We are to check whether the above statement is true or false.

In the two dimensional coordinate, let the Y-coordinate (y) varies directly as the X-coordinate (x).

Then, we can write

We see that, for any real number 'k',

the equation y = kx is the equation of a straight line passing through the origin, because when x = 0, then y = 0.

So, (0, 0) is always a point on the line y = kx. That is, the line will always pass through the origin.

Thus, a direct variation always goes through the origin of the coordinate plane. The statement is TRUE.

If we take k = 2, then the equation becomes y = 2x. The graph of the line is shown in the attached figure. We see that the line passes through the origin.

the father in the first generation probably had the recessive colorblind trait in his x chromosome. if he and his wife both had the colorblind trait, even if she had 1 recessive and 1 dominant, then that trait would be passed on to their kids.

(since you didn't attach the family tree this is just an assumption)