Question 320651
what is the parallel and perpendicular slope to this equation including all the steps to find this problem y ={{{-2/3}}}x + 6; Assume this is what you mean
:
Parallel is easy, parallel lines have the same slope, therefore
{{{-2/3}}} is the slope of any line parallel to the line of this equation
:
The slope relationship of perpendicular lines is given by:
m1 * m2 = -1
where
m1 = {{{-2/3}}}
m2 = the slope of the perpendicular line
:
{{{-2/3}}} * m2 = -1
multiply both sides by {{{-3/2}}}
1 * m2 = -1 * {{{-3/2}}}
m2 = {{{3/2}}} is the slope of the line perpendicular to the given equation