Appendix A - A.2 - Formulas and Equations - Exercises - Page 546: 36

$Y = -5$

$m = \frac{Y - y}{X - x}$ $-\frac{3}{2} = \frac{Y - 1}{(2) - (-2)}$ $-\frac{3}{2} = \frac{Y - 1}{2 +2}$ $-\frac{3}{2} = \frac{Y - 1}{4}$ $-\frac{3 \times 4}{2} = Y - 1$ $-\frac{12}{2} = Y -1$ $-6 = Y - 1$ $-6 + 1 = Y$ $Y = -5$