How do you find the slope and intercept of #5-1/5y=10x#?

1 Answer
Mar 26, 2016

Answer:

The slope, #m#, is #-50#.
The y-intercept, #b#, is #25#.
The x-intercept=#1/2#

Explanation:

The formula for the slope-intercept form of a linear equation is #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#5-1/5y=10x#

In order to find the slope and y-intercept for the above formula, solve for #y#.

Subtract #5# from both sides.

#-1/5y=10x-5#

Simplify #-1/5y# to #(-1y)/5#.

#(-1y)/5=10x-5#

Multiply both sides by #5#.

#-y=(10x*5)-(5*5)#

Simplify.

#-y=50x-25#

Multiply both sides by #-1#.

#y=-50x+25#

#m=-50#
#b=25#

If you wish to find the x-intercept also, substitute #0# for #y# and solve for #x#.

#y=-50x+25#

#0=-50x+25#

Add #50x# to both sides.

#50x=25#

Divide both sides by #50#.

#x=25/50#

Simplify.

#x=1/2#