How do you write #5x+1=4y+7# in slope-intercept form? What is the slope and #y#-intercept?

1 Answer
Oct 27, 2016

The slope is #5/4# and the y-intercept is #-3/2#

Explanation:

The slope intercept form equation of a line is #y=mx+c#
where #m# is the slope and #c# the y-intercept
Rewriting the above equation
#5x+1=4y+7#

#4y=5x+1-7#

#4y=5x-6#

#y=5/4x-6/4#

#y=5/4x-3/2#

The slope is #5/4# and the y-intercept is #-3/2#