Find The Slope Of Parallel Or Perpendicular Lines Given Equation Worksheet

Algebra 1
Linear Relationship

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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 cc has a slope of 79\frac{7}{9}. Line dd is perpendicular to cc. What is the slope of line dd?\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline__\_\_
Solution:
  1. Perpendicular Lines: Line dd is perpendicular to line cc. Slopes of perpendicular lines are opposite reciprocals.
  2. Slope of line c: Slope of line c is 79 \frac{7}{9} . And reciprocal of 79 \frac{7}{9} is 97 \frac{9}{7} .
  3. Reciprocal and Opposite: Opposite of 97 \frac{9}{7} is 97 -\frac{9}{7} . \newlineSo, slope of line d d will be 97 -\frac{9}{7} .
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About Worksheet

Algebra 1
Linear Relationship

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}`.

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