Question

Find the co-ordinates of the point where the line x/ 2 + y/3 = 5 intersects y-axis.

Answer 1

maybe it should be right

Answer 2

Coordinate geometry is the branch of mathematics which deals with the position of an object lying in a plane.

Each  point in cartesian plane has two coordinates X coordinate and Y coordinate.
The X co-ordinate is called the abscissa.
The Y co-ordinate is called the ordinate.

Coordinates X and Y taken together are called coordinates of a point. (x,y) is called an ordered pair.

MIDPOINT FORMULA:
Coordinates of the midpoint P of the line segment joining the points A(x1,y1) and B(x2,y2) is [ (x1+x2) / 2 , (y1+y2)/2]

SOLUTION:

The coordinates of every point on the y-axis are of the form (0,y).

GIVEN:
x/ 2 + y/3 = 5 ………………(1)

x=0          [ intersects y axis]
On Putting x = 0 in eq 1
x/ 2 + y/3 = 5
0/2 + y/3 = 5
0 + y = 5 × 3

y = 15

Hence, the coordinates of the point is (0,15)

HOPE THIS WILL HELP YOU...