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The diagram shows a straight line that passes through points A and B, and a curve that passes through points P and Q.

a) Find the equation of the straight line.

b) The equation of the curve is *y* = *x*^{2} + *kx* + 8.

Find the value of *k*.

c) Diann draws line BQ.

She says

"Triangle ABQ is isosceles."

Is Diann correct?

You must show all your working.

**Question**

5) The diagram shows a straight line that passes through points A and B, and a curve that passes through points P and Q.

a) Find the equation of the straight line.

**[3 marks]**

b) The equation of the curve is *y* = *x*^{2} + *kx* + 8.

Find the value of *k*.

**[3 marks]**

c) Diann draws line BQ.

She says

"Triangle ABQ is isosceles."

Is Diann correct?

You must show all your working.

**[4 marks]**