(1) The point of intersection of the line
represented by 3x - 2y = 6 and the y-axis
is .........
A. (2.0) B. (0, -3) C. (-2, 0) D. (0, 3)
Answers
Question:
Fill the blank with correct option:
The point of intersection of the line represented by 3 x - 2 y = 6 and the y-axis is .
Answer:
Option (B)
(0,-3)
Explanation;
We know that ,
At y-axis the x-coordinate is equal to zero.
The the point of intersection of the given line and the y-axis will be in the form (0,y).
Also,
The coordinates of the point of intersection will satisfy the equation of given line.
Thus,
Putting x=0 in the equation of given line,
We get;
=> 3 x - 2 y = 6
=> 3•0 - 2y = 6
=> -2y = 6
=> y = 6/(-2)
=> y = -3.
Thus,
The point of intersection of the given line and the y-axis will be (0,-3).
Where,
x-coordinate is zero and
y-coordinate is -3.
Thus,
The required answer is option (B).
Hence,
The point of intersection of the line represented by 3 x - 2 y = 6 and the y-axis is (0,-3).
Question :
The point of intersection of the line
represented by 3x - 2y = 6 and the y-axis
is _____.
AnswEr :
As The Statement States that it is the point of Intersection, So y-axis will be must in the form of ( 0 , y ).
• So let's put the value of x = 0 in the Equation:
⇒ 3x - 2y = 6
⇒ (3 × 0) - 2y = 6
⇒ 0 - 2y = 6
⇒ - 2y = 6
⇒ y = - 6 / 2
⇒ y = - 3
• So the Point of Intersection will be at:
- x Coordinate will be 0
- y coordinate will be - 3
჻ Correct Option will be [B] ( 0 , -3 )