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

2 Answers
Dec 20, 2015

Answer:

slope#=1#
y-intercept#=4#
x-intercept#=-4#

Explanation:

The equation can be written in slope-intercept form, which is:

#y=mx+b#

where:
#y=#y-coordinate
#m=#slope
#x=#x-coordinate
#b=#y-intercept

Looking back at your equation, this means that:

#m=1rArr# slope
#b=4rArr# y-intercept

To find the x-intercept, substitute #y# as #0#. The reason for this is that any x-intercept has a y-coordinate of #0#. When we substitute #y# as #0# into the equation, the only unknown variable left to solve will be #x#:

#y=x+4#
#0=x+4#
#-4=xrArr# x-intercept

Dec 20, 2015

Answer:

Slope is #1#, #x# intercept #-4# and #y# intercept is #4#.

Explanation:

#color(white)(xx)y=x+4#

Let #m# be the slope. Then,
#color(white)(xx)y=mx+c#

#color(white)(xx)y=x+4#
Therefore slope is #1#.

For #x=0#,
#color(white)(xx)y=4#

For #y=0#,
#color(white)(xx)x=-4#

Therefore #x# intercept #-4# and #y# intercept is #4#.
graph{x+4 [-10, 10, -5, 5]}