The point of intersection of 2x-3y=6,with coordinate axes are
Answers
Intercept form
The straight line expressed in the form
intersects the x-axis at and the y-axis at .
Solution:
The given straight line is
Thus the given straight line intersects the x-axis at and the y-axis at .
Remark: There can be another approach. Since we have to find point of intersection of the given line with the coordinate axes, put (intersection with the x-axis) and put (intersection with the y-axis).
When
When
Thus the given straight line intersects the x-axis at and the y-axis at .
The complete question is,
The points of intersection of 2x - 3y = 6 with the coordinate axes are 1 point (3,0) & (0,4) (3,0) & (0,-2) (3,0) & (0,2) (5,0) & (0,-2)
Given:
The equation of line is 2x - 3y = 6
Options are (3,0) & (0,4) (3,0) & (0,-2) (3,0) & (0,2) (5,0) & (0,-2)
To find:
Find thee points of intersection.
Solution:
The given equation of line is 2x - 3y = 6.
Let us consider 2 conditions.
When x = 0, we get,
2 (0) - 3y = 6
- 3y = 6
y = -2
Therefore, the point of intersection is, (0, -2)
When y = 0, we get,
2x - 3 (0) = 6
2x = 6
x = 3
Therefore, the point of intersection is, (3, 0)
Hence (0,-2) (3,0) is the point of intersection of 2x-3y=6 with coordinate axes.