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The graph of a line in the xy-plane has slope 2 and contains the point (1,8). The graph of a second line passes through the points (1,2) and (2,1). If the two lines intersect at the point (a,b), what is the value of a+b?

Respuesta :

Answer:

3

Explanation:

f（x）=2x+c

contain the point（1，8）

2+c=8

c=6

g（x）=kx+d     contains （1，2）（2，1）

k+d=2 and 2k+d=1

k=-1  

d=3

g（x）=-x+3

f（x）=g（x）

2x+6=-x+3

x=-1   so f（x）=g（x）=2*-1+6=4

a+b=4-1=3

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