How do you write the equation in slope intercept form #y+5=3/7(x-14)#?

1 Answer
Jim G.
Aug 15, 2016

#y=3/7x-11#

Explanation:

The equation of a line in #color(blue)"slope-intercept form"# is

#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b, the y-intercept.

We require to rearrange this equation into this form.

The first step is to distribute the bracket.

#rArry+5=3/7x-6#

subtract 5 from both sides

#ycancel(+5)cancel(-5)=3/7x-6-5#

#rArry=3/7x-11" in slope-intercept form"#

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