How do you graph using slope and intercept of #x+y=-1 #?

1 Answer
Dec 21, 2015

#m=-1#
#b=-1#

Explanation:

Convert #x+y=-1# to slope-intercept form by solving for #y#.

Subtract #x# from both sides.

#y=-x-1#

The equation is now in slope-intercept form, #y=mx+b#, where #m# is the slope, and #b# is the y-intercept.

#m=-1# and #b=-1#

Since any whole number can be expressed as a fraction with #1# as the denominator, we can express #m# as #(-1)/1#. Since #b# is the value of #y# when #x=0#, we have the point #(0,-1)#.

Plot the point, then use the slope to find more points. Starting at #(0,-1)#, move down one space and right one space. Plot the point. You only need two points for a straight line, but you can plot more if you wish. Draw a straight line through the points.

graph{y=-x-1 [-12.6, 12.6, -6.3, 6.3]}