Answer:
Explanation:
y=1/2x+1
y=mx+b where m=slope and b=y-intercept
in this case, m=1/2, b=1
y-intercept: (0, 1)
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y=-x+4
y=mx+b where m=slope and b=y-intercept
in this case, m=-1, b=4
y-intercept: (0, 4)
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1/2x+1=-x+4
1/2x-(-x)+1=4
1/2x+x=4-1
1/2x+2/2x=3
3/2x=3
x=3/(3/2)
x=(3/1)(2/3)
x=6/3
x=2
substitute x=2, into y=1/2x+1
y=1/2(2)+1=1+1=2
x=2, y=2.
The lines intersect at point (2, 2).