Question

if you are given the graph of a line and are asked to write the equation of a perpendicular line, does it matter what the y - intercept will be for the equation you write? why or why not?
if these two matters, what the y - intercept of the new line is. the new equation’s slope must be the negative reciprocal of the slope of the original line. the new equation’s y - intercept
must be the additive inverse of the y - intercept of the original line
can be anything reasonable
must be the negative reciprocal of the y - intercept of the original line
must be equal to the y - intercept of the original line
must be different from the y - intercept of the original line
must be the reciprocal of the y - intercept of the original line

Explanation:

A perpendicular line only requires its slope to be the negative reciprocal of the original line's slope. The y-intercept determines where the perpendicular line crosses the y-axis, and there are infinitely many perpendicular lines (each with a different y-intercept) that are perpendicular to the original line, as long as the slope condition is met.

Answer:

It does not matter what the y-intercept of the new line is. The new equation's slope must be the negative reciprocal of the slope of the original line. The new equation's y-intercept can be anything reasonable