What is the equation in slope intercept form for #10x-5y=25?#

1 Answer
Mar 18, 2018

#y=2x-5#

Explanation:

#"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 "10x-5y=25" into this form"#

#"subtract "10x" from both sides"#

#cancel(10x)cancel(-10x)-5y=-10x+25#

#rArr-5y=-10x+25#

#"divide all terms by "-5#

#(cancel(-5) y)/cancel(-5)=(-10)/(-5)x+25/(-5)#

#rArry=2x-5larrcolor(red)"in slope-intercept form"#