Review question

Given three clues, can we find the equation of the curve? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7734

Question

The gradient of a curve is $ax + b$ at all points, where $a$ and $b$ are constants. Find the equation of the curve, given that it passes through the points $(0,4)$ and $(1,3)$, and that the tangent at $(1,3)$ is parallel to the line $y = x$.