Question

consider the liney=-5/4x+9what is the slope of a line parallel to this line?what is the slope of a line perpendicular to this line?

Answer 1

The slope of a line parallel to another line is the same slope of the original line, that means, the slope of a line parallel is -5/4

Because a line is given by the expression:

y=mx+b, where m is the slope

Now, the slope of a line perpendicular to the original line is its negative reciprocal, that means the slope of a line perpendicular to y=-5/4x+9 is 4/5