Question #e37db

2 Answers
Apr 2, 2017

#3/4#

Explanation:

To find the slope we must solve the equation for #y#

We add #3x# to both sides:

#cancel(-3x+3x)+4y=10+3x -> 4y=3x+10#

Divide #4# on both sides:

#cancel(4/4)y=(3x+10)/4#

#y=color(green)(3/4)x+5/2#

Since the equation of a line is #y=mx+b# where #m# is the slope, the slope in this example is #3/4#

Apr 2, 2017

#3/4#

Explanation:

We first solve the equation for #y#:

#4y=3x+10# (add #3x# to both sides)
#y=(3x+10)/4# (divide both sides by #4#)
#y=3/4x+5/2# (since #(a+b)/c=a/c+b/c#)

Now, for a linear equation, the slope is the number coefficient of #x#, which in this case is #3/4#.