Question

How do you write the equation for the line (-14, -5) and parallel to the line determined by `6x + 7y = 28`?

Answer 1

`y=-6/7x-17`

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"`