Question

How do you find the slope perpendicular to `x + 2y = 7`?

Answer 1

`"perpendicular slope "=2`

Explanation:

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

`"subtract "x" from both sides"`

`2y=-x+7`

`"divide all terms by 2"`

`y=-1/2x+7/2larrcolor(blue)"in slope-intercept form"`

`"with slope m "=-1/2" and b=7/2`

`"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`

`m_("perpendicular")=-1/(-1/2)=2larrcolor(red)"perpendicular slope"`