Subjects algebra

Line H Equation

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1. **State the problem:** Find the equation of line H in the form $y = mx + c$. 2. **Identify points on the line:** From the description, line H passes through points $(-2, -20)$ and $(0, 0)$. 3. **Calculate the slope $m$:** The slope formula is $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ Using points $(-2, -20)$ and $(0, 0)$: $$m = \frac{0 - (-20)}{0 - (-2)} = \frac{20}{2} = 10$$ 4. **Find the y-intercept $c$:** Since the line passes through the origin $(0,0)$, the y-intercept is $c = 0$. 5. **Write the equation:** Substitute $m = 10$ and $c = 0$ into $y = mx + c$: $$y = 10x + 0$$ Or simply: $$y = 10x$$ **Final answer:** The equation of line H is $y = 10x$.