Answer:

(4,3)

Step-by-step explanation:

Given an equation of a line such that,

2x + 3y = 9

Also, a statement is given for another line.

The other line is parallel to y axis at a distance of 4 units from the origin.

Therefore, clearly, we have,

Since it's parallel to y axis,

Therefore, the x coordinate will be fixed throughout the line.

And, its distance from origin is 4 units.

Therefore, the eqn will be,

x = 4

Now, substituting this value in the beginning of the first line,

Therefore, we will get,

=> 2(4) + 3y = 9

=> 8 + 3y = 9

=> 3y = 9 - 8

=> 3y = 1

=> y = 1/3

Therefore, point of intersection is (4,3).

Hence, the graph of the given line will meet the other line at the point (4,3).