1. **State the problem:** Find the equation of the straight line passing through the points $(-4, 2)$ and $(0, 10)$ in the form $y = mx + c$. 2. **Formula used:** The equation of a line is $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept. 3. **Calculate the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{0 - (-4)} = \frac{8}{4} = 2$$ 4. **Find the y-intercept $c$:** Use one point, for example $(0, 10)$: $$y = mx + c \Rightarrow 10 = 2 \times 0 + c \Rightarrow c = 10$$ 5. **Write the equation:** $$y = 2x + 10$$ This is the equation of the line passing through the given points.