Warm Up Write the Standard Form equation of

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Warm up Write an equation given the following info:

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

Parallel & Perpendicular Lines 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

Find the slope of each line. Then 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

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

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

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

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

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?