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Algebra Chapter 5 Writing Linear Equations

Algebra Chapter 5 Writing Linear Equations. TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write linear equations given two points TSW rewrite linear equations in slope-intercept form

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Algebra Chapter 5 Writing Linear Equations

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  1. AlgebraChapter 5Writing Linear Equations TSW calculate slope given two points TSW calculate slope for parallel/perpendicular lines TSW write linear equations given slope and y-intercept TSW write linear equations given two points TSW rewrite linear equations in slope-intercept form TSW rewrite linear equations in Standard Form TSW write linear equations for horizontal/vertical lines

  2. Review of Equations: Formula for Slope Standard Form Slope-intercept Form Point-Slope Form

  3. Find the slope of a line through points (3, 4) and (-1, 6).

  4. Change into standard form.

  5. Change into slope-intercept form and identify m and b.

  6. Write an equation for the line that passes through (-2, 5) and (1, 7): Find the slope: Use point-slope form:

  7. Horizontal Lines • Slope is zero. • Equation form is y = #. • Write an equation of a line and graph it with zero slope and y-intercept of -2. • y = -2 • Write an equation of a line and graph it that passes through (2, 4) and (-3, 4). • y = 4

  8. Vertical Lines • Slope is undefined. • Equation form is x = #. • Write an equation of a line and graph it with undefined slope and passes through (1, 0). • x = 1 • Write an equation of a line that passes through (3, 5) and (3, -2). • x = 3

  9. Parallel Lines **Parallel lines have the same slopes.** Find the slope of the original line. Use that slope to graph your new line and to write the equation of your new line.

  10. Write the equation of a line parallel to 2x – 4y = 8 and containing (-1, 4):

  11. Write the equation of a line parallel to 2x – 4y = 8 and containing (-1, 4), continued:

  12. Perpendicular Lines • **Perpendicular lines have the • opposite reciprocal slopes.** • Find the slope of the original line. • Change the sign and invert the numerator and denominator of the slope. • Use that slope to graph your new line and to write the equation of your new line.

  13. Write the equation of a line perpendicular to y = -2x + 3 and containing (3, 7): Original Slope= -2

  14. Write the equation of a line perpendicular to 3x – 4y = 8 and containing (-1, 4): -4y = -3x + 8

  15. AlgebraChapter 5Writing Linear Equations Complete worksheet . This worksheet is considered your final study guide for the entire Chapter 5.

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