How do you write the equation for the line (-14, -5) and parallel to the line determined by #6x + 7y = 28#?
1 Answer
Jun 1, 2018
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"#
#"rearrange "6x+7y=28" into this form"#
#"subtract "6x" from both sides"#
#7y=-6x+28#
#"divide all terms by 7"#
#y=-6/7x+4larrcolor(blue)"in slope-intercept form"#
#"with slope "=-6/7#
#y=-6/7x+blarrcolor(blue)"is the partial equation"#
#"to find b substitute "(-14,-5)" into the partial equation"#
#-5=12+brArrb=-5-12=-17#
#y=-6/7x-17larrcolor(red)"is equation of line"#
