Question

on a coordinate plane a line contains the point 2'6 and models a proportional relationship which of the following points are also on the line

Answer 1

Given:

On a coordinate plane a line contains the point (2,6) and models a proportional relationship.

To find:

The points which are also on the line.

Solution:

The line models a proportional relationship.

$y\propto x$

$y=kx$            ...(i)

where, k is constant of proportionality.

Put x=2 and y=6 in the above equation.

$6=k(2)$

Divide both sides by 2.

$\dfrac{6}{2}=k$

$k=3$

Put k=3 in equation (i).

$y=3x$

We can say that the point whose y-coordinate is 3 times of its x-coordinate, are the point which are lie on the line.

For example: (1,3), (3,3), (-1,-3) etc.

So, the equation of line is $y=3x$. All the points which satisfy this equation represents the points on the line.