Review question

# When does $y=mx-5$ intersect $y=x^2-1$ twice? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5287

## Suggestion

Find the range of values of $m$ for which the straight line $y=mx-5$ intersects the curve $y=x^2-1$ in two distinct points.

What effect will changing $m$ have on the line and the curve?

Use this applet to confirm your prediction and estimate an answer to the question.