(1) According to the meaning of the question, it goes through (-1, 1) and (2,7).

∴{ 1=-k+b

7=2k+b

The solution is {k=2.

b=3

∴y=2x+3

Replace y=2x+3 with y=0.

x=- 1.5

∴A(- 1.5,0)

Replace y=2x+3 with x=0.

y=3

∴B(0,3)

(2) You should draw a picture of this question, or you will lose points, but I can't upload a picture. You should be able to draw in a plane rectangular coordinate system, and then find out the approximate coordinates of P and connect them with BP.

∫A(- 1.5，0)

∴OA= 1.5

OP = 2OA

∴OP=3

According to the meaning of the question

∴P(3,0)

∴AP= 1.5+3=4.5

∫B(0，3)

∴OB=3

∴S△ABP=AP×OB× 1/2

=4.5×3× 1/2

=6.75

If you calculate which position is wrong, you can do it yourself.

Hope to adopt! ! !