On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?

A) (0, 1)
B) (1, 0)
C) (1, 1)
D) (0, 0)

it's d

On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?

right

WHAT THA NUGGETS!!!!

To determine which point must be on the line, we need to understand what a proportional relationship between x and y means. In a proportional relationship, the ratio between the x and y values remains constant.

Typically, a proportional relationship is represented by a straight line passing through the origin (0, 0) since the ratio of y to x is constant for all points on the line.

Let's analyze the given options:
A) (0, 1) - The y-value is 1. However, the x-value is 0, meaning the ratio would be undefined. This point does not satisfy the condition for a proportional relationship.
B) (1, 0) - The x-value is 1, and the y-value is 0. This satisfies the condition of the ratio being constant, but it does not pass through the origin. So, this point may or may not be on the line.
C) (1, 1) - The x-value is 1, and the y-value is 1. This also satisfies the condition of the ratio being constant. However, it does not pass through the origin. Hence, this point may or may not be on the line.
D) (0, 0) - This point satisfies the condition of being on the line since it passes through the origin (0, 0).

Therefore, the point that MUST be on the line representing a proportional relationship between x and y is D) (0, 0).

such a relationship looks like y = kx

so, what do you think?
remember, the value of k is not known, and in fact does not matter.

too bad you didn't look at Reiny's response to your earlier post.