Question

How do you write the equation of the line parallel to y=1/2x+6 and passes through (–8, 0)?

Answer 1

`y=1/2x+4`

Explanation:

`• " parallel lines have equal slopes"`

`"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"`

`y=1/2x+6" is in this form"`

`"with "m=1/2`

`"hence equation of parallel line is"`

`y=1/2x+blarrcolor(blue)"is the partial equation"`

`"to find b substitute "(-8,0)" into the partial equation"`

`0=-4+brArrb=4`

`rArry=1/2x+4larrcolor(red)"in slope-intercept form"`
graph{(y-1/2x-6)(y-1/2x-4)((x+8)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}