What is the slope-intercept form of #5x - 3y = -15 #?

1 Answer
Johnson Z.
May 9, 2016

#y=5/3x+5#

Explanation:

Recall that the slope-intercept form of a linear equation follows the general formula:

#color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)))#

Given,

#5x-3y=-15#

Your goal is to isolate for #y#. Thus, subtract both sides of the equation by #5x#.

#5xcolor(white)(i)color(red)(-5x)-3y=color(red)(-5x)-15#

#-3y=-5x-15#

Divide both sides by #-3y#.

#color(red)((color(black)(-3y))/(-3))=color(red)(color(black)(-5x-15)/(-3))#

#color(green)(|bar(ul(color(white)(a/a)color(black)(y=5/3x+5)color(white)(a/a)|)))#

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