1. The problem asks to draw lines with given gradients (slopes) on squared paper. 2. The gradient (or slope) of a line is the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. 3. For each gradient, the line rises or falls by the gradient value for every 1 unit it moves horizontally to the right. 4. Let's analyze each gradient: a. Gradient $5$: For every 1 unit moved right, the line goes up 5 units. b. Gradient $\frac{1}{2}$: For every 2 units moved right, the line goes up 1 unit. c. Gradient $-3$: For every 1 unit moved right, the line goes down 3 units. 5. To draw these lines on squared paper, start at any point (commonly the origin) and use the gradient to find another point: - For $5$, from $(0,0)$ move right 1, up 5 to $(1,5)$. - For $\frac{1}{2}$, from $(0,0)$ move right 2, up 1 to $(2,1)$. - For $-3$, from $(0,0)$ move right 1, down 3 to $(1,-3)$. 6. Connect these points with a straight line extending in both directions. This shows how gradients determine the steepness and direction of lines on squared paper.