Question

The coordinates of a point 𝑩 on the 𝑦-axis are given as (𝟑𝒑+𝟏𝟐, 𝟐𝒑−𝟒). Find the coordinates of 𝑩.

Answer 1

Step 1:
The first step is to identify the general form of the coordinates of a point on the y axis.
If a point lies on the y axis, then x coordinat will be 0.
So, the general coordinates of a point on the y axis will be (0, y)

Step 2:
In the second step, we need to find the value of ‘p’.
Since we know that coordinates of point B are $(3p+12,2p-4)$ and that it lies on the y-axis (whose x coordinate is always zero), we have:

$3p+12=0$
$3p=-12$
$p=-4$

Step 3:

In the third step, we need to find the coordinates of B.
Since we know that coordinates of point B are (3p + 12, 2p - 4) and that the value of p is -4. Substituting, we have:
x-coordinate: 3 x (-4) + 12 = 0
y-coordinate: 2 x (-4) - 4 = -12

Hence, the coordinates of B are (0, -12).