Question

find the coordinates of intersection of line 4 x + 6 y is equal to 18 and y axis​

Answer 1

Given line: $\sf{2x+3y=9}$ [An equivalent line.]

To find: The y-intercept.

To find the y-intercept, we first need to find a common point.

The y-axis is equivalent to the line x=0.

System equation

• $\sf{x=0\:and\:2x+3y=9}$

Substitute the value of x into the equation.

$\sf{2x+3y=9}$

→ $\sf{3y=9}$

$\sf{\therefore y=3}$

The y-intercept is 3, so the point of intersection is (0, 3).

Learn more:

We can find a common point of different graphs with system equations.

→ https://brainly.in/question/2304630