Question

The line represented by 4x - 3y = 9 intersects the y-axis at:
(a)
(0, -3)
(b)
(9/4, 0)
(c)
(-3,0)
(d)
(0,9/4)​

Answer 1

At y-axis, x=0
4(0)-3y=9
-3y=9
y=-3

The line intersects y-axis at (0,-3)


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Answer 2

The line represented by 4x-3y=9 intersects the y axis at (0 , -3)

Given:

• Line 4x-3y=9

To Find:

• Point of line intersecting y axis

Solution:

Concept/Formula to be used:

x coordinate of any point on y axis is always zero.

Coordinates of any point on a line satisfy the equation of line.

Step 1:

Assume that point is ( 0 , k) where line 4x-3y=9 intersect y axis

Step 2:

Substitute x=0 and y=k in 4x-3y=9 and solve for k

4(0) - 3(k) = 9

=> -3k = 9

=> k = -3

Hence, The line represented by 4x-3y=9 intersects the y axis at (0 , -3)

Correct option is a) ( 0 , -3)

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