5. write the equation of
four lines that are
1) parallel to the x-axis
2) parallel to the y-axis
Answers
Answer:
Step-by-step explanation:
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Answer:
Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b.
1.The equation of x-axis is y = 0, since, x-axis is a parallel to itself at a distance 0 from it.
Or
Let P (x,y) be any point on the x-axis. Then clearly, for all position of P we shall the same ordinate 0 or, y = 0.
Therefore, the equation of x-axis is y = 0.
If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b.
2.We will learn how to find the equation of y-axis and equation of a line parallel to y-axis.
Let AB be a straight line parallel to y-axis at a distance a units from it. Then, clearly, all points on the line AB have the same abscissa a. Thus, AB can be considered as the locus of a point at a distance a from y-axis and all points on the line AB satisfy the condition x = a.
copy the picture here
Thus, if P(x, y) is any point on AB, then x = a.
Step-by-step explanation:
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