How do I write one equations in slope-intercept form, and three other lines in slope-intercept form that are perpendicular to the first line ??

for ex. If I pick the equation y=2/3x+4 for the first equation. and for the second line , the slope -2/3x +4 , how about the 3rd and 4th line?
do i choose any other value of b or slope?

1 answer

The slope of the 3 perpendicular lines
must be the negative RECIPRECAL of the
first line.

1. Y = (2/3)x + 4

2. Y = (-3/2)x + 4

3. Y = (-3/2)x + 5

4. Y = (-3/2)x + 6