Question

Draw graph of the equation 2x – y + 3 = 0.write the co-ordinates of the points at which the line intersects the co-ordinate axes.​

Answer 1

Explanation:

Given expression:

2x - y + 3 = 0

The co-ordinates of the points at which the line intersects the coordinate axes is unknown?

Now,

2x - y + 3 = 0

Let us rearrange the equation;

-y = -2x - 3

Multiply through by (-1);

y = 2x + 3

the point where the line intercept the y- axis, x = 0

so,

y = 2(0) + 3 = 3

Coordinates = (0,3)

the point where the line intercepts the x-axis, y = 0;

0 = 2x + 3

2x = -3

x =
`(-3)/(2)`

Coordinates = (
`(-3)/(2)` , 0)