1. **State the problem:** Find the equation of the straight line passing through the points $(0,7)$ and $(2,0)$ 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 $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 7}{2 - 0} = \frac{-7}{2} = -\frac{7}{2}$$ 4. **Find the y-intercept $c$:** Since the line passes through $(0,7)$, the y-intercept is $c = 7$. 5. **Write the equation:** Substitute $m$ and $c$ into $y = mx + c$: $$y = -\frac{7}{2}x + 7$$ 6. **Final answer:** The equation of the line is $$y = -\frac{7}{2}x + 7$$