Question

Write in standard form the equation of the line being described in the following:
a line parallel to the x-axis and passing through (-5,-12)​​

Answer 1

Answer:

To find the equation of x-axis and of a line parallel to x-axis:

Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same ordinate b. Thus, AB can be considered as the locus of a point at a distance b from x-axis and all points on the line AB satisfy the condition y = b.

Equation of a Line Parallel to x-axis

Equation of a Line Parallel to x-axis

Thus, if P(x, y) is any point on AB, then y = b..