1. Problem: Find the equation of the line passing through point A(2,4) and parallel to the line $y=5x-3$. 2. Formula: Lines parallel to $y=mx+b$ have the same slope $m$. Here, slope $m=5$. 3. Use point-slope form: $$y - y_1 = m(x - x_1)$$ where $(x_1,y_1)=(2,4)$ and $m=5$. 4. Substitute values: $$y - 4 = 5(x - 2)$$ 5. Simplify: $$y - 4 = 5x - 10$$ 6. Final equation: $$y = 5x - 6$$ This is the equation of the line through A(2,4) parallel to $y=5x-3$.