Question

The point at which the line x+2y=4 intersects the Y axis

Answer 1

Answer:

Step-by-step explanation:

Y=2-x

X+2(2-x)=4

X+4-2x=4

-x=4-4

-x=0

X=0

Answer 2

The line x + 2y = 4 intersects y axis at (0,2)

Given :

The given equation of the line x + 2y = 4

To find :

The point where the line x + 2y = 4 intersects y axis

Solution :

Step 1 of 2 :

Write down the given equation of the line

Here the given equation of the line is

x + 2y = 4 - - - - - (1)

Step 2 of 2 :

Find the point where the line intersects y axis

The line intersects y axis

∴ x = 0

Putting x = 0 in Equation 1 we get

0 + 2y = 4

⇒ 2y = 4

⇒ y = 4/2

⇒ y = 2

Hence the line x + 2y = 4 intersects y axis at (0,2)

Figure : In the graph the line x + 2y = 4 intersects y axis at B(0,2)

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