Subjects algebra

Line Equation Bbc62F

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1. **State the problem:** Find the equation of the straight line passing through points (0,7) and (1,0) in the form $y = mx + c$. 2. **Formula and rules:** The equation of a line is $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept. 3. **Find the slope $m$:** The slope formula is $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Using points $(0,7)$ and $(1,0)$: $$m = \frac{0 - 7}{1 - 0} = \frac{-7}{1} = -7$$ 4. **Find the y-intercept $c$:** Since the line crosses the y-axis at $(0,7)$, the y-intercept is $c = 7$. 5. **Write the equation:** Substitute $m = -7$ and $c = 7$ into $y = mx + c$: $$y = -7x + 7$$ **Final answer:** $$y = -7x + 7$$