Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 212: 132

$2x+5y=-11$

Step 1. Identify the slope of the given line $5x-2y=6$ as $m_1=\frac{5}{2}$ Step 2. The line perpendicular to the above will have a slope of $m=-\frac{1}{m_1}=-\frac{2}{5}$ Step 3. Use the point $(2,-3)$, we have $y+3=-\frac{2}{5}(x-2) \Longrightarrow 5y+15=-2x+4 \Longrightarrow 2x+5y=-11$