we have the system
2x+y=-4 -----> equation A
y=(1/2)x+1 ----> equation B
To graph a line we need two points
so
Find out the intercepts
2x+y=-4 -----> equation A
y-intercept (value of y when the value of x=0)
For x=0
2(0)+y=-4
y=-4
y-intercept is (0,-4)
Find out the x-intercept (value of x when the value of y=0)
For y=0
2x+0=-4
2x=-4
x=-2
x-intercept is (-2,0)
y=(1/2)x+1 ----> equation B
y-intercept
y=(1/2)(0)+1 ----> y=1
y-intercept is (0,1)
x-intercept
0=(1/2)x+1
(1/2)x=-1
x=-2
x-intercept is (-2,0)
To graph, the lines, plot the intercepts and join them to graph the lines
see the attached figure
the solution is the intersection point both lines
therefore
