Subjects algebra

Line Parallel

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Find the equation of a line parallel to line A and passing through point P (0,18). 2. **Find the slope of line A:** Use points (-7,-20) and (1,8) on line A to find slope $m$: $$m = \frac{8 - (-20)}{1 - (-7)} = \frac{8 + 20}{1 + 7} = \frac{28}{8} = 3.5$$ 3. **Find the equation of the line parallel to line A:** Parallel lines have the same slope. So slope $m = 3.5$. The line passes through $P(0,18)$, which is the y-intercept $c$. 4. **Write the equation in form $y = mx + c$:** $$y = 3.5x + 18$$ 5. **Final answer:** The equation of the line parallel to line A passing through point P is $$\boxed{y = 3.5x + 18}$$