Question

What is the equation of Y-axis? Hence, find the point of intersection of Y-axis and the line y = 3x + 2
A. y = 0, (0, 2)
B y = 0, (2, 0)
C. Data insufficient
D. None of these

Answer 1

Hint:In the coordinate axis, y-axis is a line in which all the points have the x-coordinate equal to 0. And to find the intersection of two lines we had to find the solution of both the lines.

Complete step-by-step answer:
As, we know that all the points in the y-axis different y-coordinate but x-coordinate equal to 0
So, the equation of y-axis should be x = 0.
Now we had to find the point of intersection of equation
x = 0 (1)
y = 3x + 2 (2)
As we know that the point of intersection of two lines is the point which satisfies both the equations.
And to find the point of intersection of two lines, we must have to solve both the equations.
So, putting the value of x form equation 1 to equation 2. We get,
y = 3*0 + 2
y = 2
So, the point of intersection of the y-axis (x = 0) and the line y = 3x + 2 will be the point (0, 2).
Hence, the correct option will be D.

Note:Whenever we come up with this type of problem then we should remember that the equation of y-axis is x = 0 and the equation of x-axis is y = 0. And to find the point of intersection of two lines we had to solve the equations of both the lines and the solution will be the point of intersection. So, here we know that the equation of y-axis is x = 0. So, we had placed the value of x = 0 in the given equation y = 3x + 2 to find the value of y. This will be the easiest and efficient way to find the solution of the problem.