Question

The point where the line x/2+y/3=1 intersects y axis at?
please answer with steps​

Answer 1

Answer:

Step-by-step explanation:

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)

Answer 2

• Coordinate geometry is a branch of mathematics that deals with the position of an object lying in a plane.
• Each point in the Cartesian plane has two coordinates, an X-coordinate and a Y-coordinate.
• The X coordinate is called the line segment.
• The Y coordinate is called the coordinate
• The X and Y coordinates together are called the point coordinates. (x,y) is called an ordered pair.

MIDPOINT FORMULA:

The coordinates of the center P of the segment connecting points A$(x_{1},y_{1})$ and B$(x_{2},y_{2})$ are$[(x_{1} +x_{2} )/2,(y_{1} +y_{2} )/2$

The coordinates of each point on the y-axis have the form (0,y).

GIVEN:

$x/ 2 + y/3 = 1$………………(1)

x=0 [ intersects the y-axis]

By inserting x = 0 into equation 1

So the coordinates of the point are (0,3)

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