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Warm Up Write the Standard Form equation of

Understand parallel and perpendicular lines, find standard form equations, determine slopes, and solve examples easily. Improve your math skills now!

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Warm Up Write the Standard Form equation of

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  1. Warm Up Write the Standard Form equation of the line that passes through the points (5, 2) and (5, -3). x – 5 = 0

  2. Section 1.1 con’t Parallel & Perpendicular Lines Parallel Lines - do not intersect - have the same slope Perpendicular Lines - intersect to form 4 right angles - slopes are the opposite sign and reciprocal of one another

  3. Examples Find the slope of each line. Then determine whether the lines are parallel, perpendicular, or neither… 1. y = 3x – 2 2. y = 8x – 1 x + 3y = -9 7x – y – 1 = 0 PERPENDECULAR LINES NEITHER 3. y = x – 9 4. y = 2x + 4 x - y + 9 = 0 x + 2y + 10 = 0 PARALLEL LINES PERPENDICULAR LINES

  4. Examples 5. Write the standard form equation of the line that passes through (2, -3) and is parallel to the line… 4x – y + 3 = 0. 4x – y – 11 = 0

  5. Examples 6. Write the standard form equation of the line that passes through (3, -5) and is perpendicular to the line… 2x – 3y + 6 = 0. 3x + 2y + 1 = 0

  6. Examples 7. Write the standard form equation of the line that passes through (2, 3) and is parallel to the line… y – 5 = 0 y – 3 = 0 What is the equation of the line that is perpendicular ? x – 2 = 0

  7. Examples 8. Write the standard form equation of the line that passes through (-1, 4) and is parallel to the line… x + 3 = 0 x + 1 = 0 What is the equation of the line that is perpendicular ? y – 4 = 0

  8. Examples 9. For what value of k is the graph of kx – 7y + 10 = 0 parallel to the graph of 8x – 14y + 3 = 0? For what value of k are the graphs perpendicular? 10. For what value of k is the graph of 2x – ky + 5 = 0 parallel to the graph of 3x + 7y + 15 = 0? For what value of k are the graphs perpendicular?

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