Line Parallel C05070

1. **State the problem:** Find the equation of the line passing through the point $(10,-2)$ that is parallel to a given line. 2. **Identify the slope of the given line:** To find the equation of a line parallel to another, we need the slope of the original line. However, the original line's equation is missing in the prompt, so we cannot determine the slope. 3. **General formula for a line:** The equation of a line with slope $m$ passing through point $(x_1,y_1)$ is given by: $$y - y_1 = m(x - x_1)$$ 4. **Parallel lines have equal slopes:** If the slope of the given line is $m$, then the slope of the line parallel to it is also $m$. 5. **Substitute the point:** Using the point $(10,-2)$, the equation becomes: $$y - (-2) = m(x - 10)$$ or $$y + 2 = m(x - 10)$$ 6. **Final step:** Without the slope $m$ from the original line, we cannot write the explicit equation. Please provide the equation of the original line to proceed.