Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 4.7 AIME Find the answer

6. The graph of the linear function $y=k(x-1)$ passes through the point $M(-1,-2)$ . Then its intersection with the $y$ -axis is:

Pick one

Solution

6. A.

From the problem, we know that $k(-1-1)=-2$ , which means $k=1$ . Therefore, the function expression is $y=x-1$ . Substituting $x=0$ into it, we get $y=-1$ . Hence, the intersection point of its graph with the $y$ -axis is $(0,-1)$ .

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