How do you graph the inequality #2x + y > 1#?
1 Answer
Mar 3, 2017
Draw a dotted line and shade above the line.
Explanation:
The first step is to change the inequality into an easier form.
From this we have the following:
-
The
#y# -intercept is at the point#(0, 1)# -
The slope is
#-2# -
The inequality sign is
#># so the graph will be a dotted line. -
The area above the line will be shaded
To draw the graph:
-
Find the
#x# -intercept by putting#y=0#
#0= -2x+1#
#2x=1#
#x =1/2# -
Plot the point
#(1/2,0)# -
Plot the y-intercept at the point
#(0,1)#
From the y-intercept
Repeat this process at least 3 times to get a line of points.
Draw a dotted line and shade the area above the line.
graph{y > -2x+1 [-1.302, 3.698, -0.73, 1.77]}
