# Find The Slope Of Parallel Or Perpendicular Lines Given Equation Worksheet

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To calculate the slope of lines parallel or perpendicular to a given equation, rephrase the equation in slope-intercept form. The equation $$y = mx + b$$ will reveal the slope $$m$$. The slope of lines parallel to this equation is the same as $$m$$. The slope of perpendicular lines is the negative reciprocal of the original slope, -\frac{1}{m}.

Algebra 1
Linear Relationship

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

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