Answer:
The graph in the attached figure
Step-by-step explanation:
we have
-3x-2y=2
step 1
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
-3(0)-2y=2
-2y=2
y=-1
The y-intercept is the point (0,-1)
step 2
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
-3x-2(0)=2
-3x=2
x=-2/3=-0.667
The x-intercept is the point (-0.667,0)
step 3
Find the third point
For x=2
substitute
-3(2)-2y=2
-6-2y=2
-2y=8
y=-4
The third point is (2,-4)
step 4
Plot the points and graph the line
see the attached figure
Note Just two points was enough to draw the line.
