Question

How do you find the slope that is perpendicular to the line `5x-3y=8`?

Answer 1

`"perpendicular slope "=-3/5`

Explanation:

`"establish the slope of the given line"`

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "5x-3y=8" into this form"`

`rArr3y=5x-8rArry=5/3x-8/3`

`"with slope m "=5/3`

`"Given a line with slope m then the slope of a line"`
`"perpendicular to it is"`

`•color(white)(x)m_(color(red)"perpendicular")=-1/m`

`rArrm_("perpendicular")=-1/(5/3)=-3/5`