How do you find the slope and intercept of #4x=y+8 #?

1 Answer
Dec 4, 2015

Answer:

slope# =4#
Y intercept#=-8#
X intercept#=2#

Explanation:

Lets change this equation into #y=mx+b# form.
In this #y=mx+b# form of the equation, #b# is your y intercept and #m# is your slope.

Step 1: Change into #y=mx+b# form by isolating #y#
#4x=y+8#
Take away #8# from both sides
#4x-8=y#

Step 2: Determine slope:
#y=4x-8#
#4# is our #m#, so that must mean the slope is #4# or #4/1#

Step 3: Determine Y intercept:
#y=4x-8#
When the line crosses the #y# axis, #x# is at zero, so we can use #x=0# to find our #y# intercept!
#y=4(0)-8#
#y=-8#

#-8# is our #y# intercept!

Step 4: Determine #x# intercept
#y=4x-8#
When the line crosses the #x# axis, #y# is zero. So we can make #y=0# in our equation!
#0=4x-8#
#8=4x#
#x=2#

#2# is our #x# intercept
Here is a picture of the graph: graph{4x=y+8 [-10, 10, -5, 5]}