Question

What is the slope of the line perpendicular and parallel to 7x+2y=-4?

Answer 1

`m_("perpendicular")=2/7,m_("parallel")=-7/2`

Explanation:

`• " parallel lines have equal slopes"`

`"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`

`"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 "7x+2y=-4" into this form"`

`2y=-7x-4`

`rArry=-7/2x-2" with "m=-7/2`

`rArrm_(color(red)"parallel")=-7/2`

`rArrm_(color(red)"perpendicular")=-1/(-7/2)=2/7`