Question

What is the slope of a line that is perpendicular to the line y=(-3/2)x-14 ?

Will give brainliest!

Answer 1

Answer:

$\displaystyle m_{\text{perp}} = \frac{2}{3}$

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Step-by-step explanation:

*Note:

The slope of the perpendicular line is the negative reciprocal of the given line.

Step 1: Define

Identify.

$\displaystyle y = \frac{-3}{2}x - 14$

Step 2: Find

1. [Equation] Identify variables [Slope-Intercept Form]:                                     $\displaystyle m = \frac{-3}{2} ,\ b = -14$
2. Negative reciprocate m:                                                                                  $\displaystyle m_{\text{perp}} = \frac{2}{3}$