# 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"#