Line Bestfit
1. **Problem statement:** Ben has plotted a scatter graph of rugby players' heights (cm) vs weights (kg) and drawn a line of best fit. We need to (a) draw the line of best fit and (b) identify what is missing on the Height axis.
2. **Line of best fit:** The line passes approximately through points (175, 88) and (190, 103).
3. **Calculate the slope $m$ of the line:**
$$m = \frac{103 - 88}{190 - 175} = \frac{15}{15} = 1$$
4. **Calculate the equation of the line:** Using point-slope form with point (175, 88),
$$y - 88 = 1(x - 175)$$
$$y = x - 175 + 88 = x - 87$$
5. **Interpretation:** The line of best fit is approximately
$$y = x - 87$$
where $y$ is weight (kg) and $x$ is height (cm).
6. **What is missing on the Height axis?** The axis label should include the unit "cm" to clarify the measurement units.
**Final answers:**
- (a) The line of best fit is $y = x - 87$.
- (b) The Height axis is missing the unit label "cm".