straight lines

Question

The equation of line passing through (2, 3) with slope 2 is

RankGuru · Accepted Answer

1. **Point-Slope Form**: The equation of a line with slope $m$ passing through $(x_1, y_1)$ is $y - y_1 = m(x - x_1)$.
2. **Insertion**: Given $m = 2$ and $(x_1, y_1) = (2, 3)$.
3. **Apply Formula**: $y - 3 = 2(x - 2)$.
4. **Simplification** (optional): $y - 3 = 2x - 4 \implies y = 2x - 1$.

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