does ax + by + c =0 represent an equationof line, iff a=b=0?
Dear Student,
The equation of a straight line represents the relation between the x coordinate and the y coordinate of all the points that lie in a straight line.
But, if a=b=0, then, the equation, ax+by+c=0 will satisfy all the values of x and y. Hence, this equation in that case will not only represents all the points that lie in a straight line but also all the other points in the plane as well.
Hence, if a=b=0, then, the equation, ax+by+c=0 will represent an entire coordinate plane.
Hope this information will clear your doubts about the topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
The equation of a straight line represents the relation between the x coordinate and the y coordinate of all the points that lie in a straight line.
But, if a=b=0, then, the equation, ax+by+c=0 will satisfy all the values of x and y. Hence, this equation in that case will not only represents all the points that lie in a straight line but also all the other points in the plane as well.
Hence, if a=b=0, then, the equation, ax+by+c=0 will represent an entire coordinate plane.
Hope this information will clear your doubts about the topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards