1. **State the problem:** Find the equation of the straight line in the form $y = mx + c$ given it crosses the y-axis at 16 and passes through the point $(2, 40)$.
2. **Recall the formula:** The equation of a straight line is $y = mx + c$ where $m$ is the slope and $c$ is the y-intercept.
3. **Identify known values:** The y-intercept $c = 16$ (since the line crosses the y-axis at 16).
4. **Calculate the slope $m$:** Use the formula for slope between two points $(x_1, y_1)$ and $(x_2, y_2)$:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
Here, one point is the y-intercept $(0,16)$ and the other is $(2,40)$.
5. Substitute values:
$$m = \frac{40 - 16}{2 - 0} = \frac{24}{2} = 12$$
6. **Write the equation:** Substitute $m=12$ and $c=16$ into $y = mx + c$:
$$y = 12x + 16$$
**Final answer:**
$$y = 12x + 16$$
Line Equation Cd39Bc
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