Respuesta :

Answer:

Step-by-step 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).

answer:

Y=1/2x+1   M=1/2 and B=1  Y internsept is 1

Y=-x+4   M=-1 and B=4   Y-internsept is 4

Lines will internsept at (2,2)

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