**How Will This Worksheet on “Find the Slope of Parallel or Perpendicular Lines Given Equation” Benefit Your Student's Learning?**

- Help students understand the relationship between line direction and slope.
- Develop skills in calculating and identifying slopes.
- Enhance critical thinking abilities.
- Demonstrate real-world applications in fields like physics and engineering.
- Build foundational knowledge for advanced math.
- Identify areas needing improvement and provide prompt feedback.
- Use visual aids and diverse problem types to engage students.

**How to Find the Slope of Parallel or Perpendicular Lines Given Equation?**

- Convert the equation to slope-intercept form \( y = mx + b \).
- Identify the slope \( m \) of the given line.
- For parallel lines, use the same slope \( m \).
- For perpendicular lines, use the negative reciprocal of the slope `-\frac{1}{m}`.

## Solved Example

Q. Line $c$ has a slope of $\frac{7}{9}$. Line $d$ is perpendicular to $c$. What is the slope of line $d$?$\newline$Simplify your answer and write it as a proper fraction, improper fraction, or integer.$\newline$$\_\_$

**Solution:****Perpendicular Lines:** Line $d$ is perpendicular to line $c$. Slopes of perpendicular lines are opposite reciprocals.**Slope of line c:** Slope of line c is $\frac{7}{9}$. And reciprocal of $\frac{7}{9}$ is $\frac{9}{7}$.**Reciprocal and Opposite:** Opposite of $\frac{9}{7}$ is $-\frac{9}{7}$. $\newline$So, slope of line $d$ will be $-\frac{9}{7}$.