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

1 Answer
Dec 21, 2017

Answer:

#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]}