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Equation Of A Line

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Gillian Guiang
Gillian Guiang

This document discusses different methods for finding the equation of a line, including: 1) Given the slope and y-intercept 2) Using a graph 3) Given a point and the slope 4) Given two points It provides examples of how to write the line equation using each method.

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Equation of a Line ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],y = -3 x + 1 y = -2 x - 4 y = 0 x + 10, y = 10 y = 1 x + 0, y = x y = 0 x + 0, y = 0
[object Object],[object Object],[object Object]
Example 1 ,[object Object],[object Object],[object Object],x y
Example 2 ,[object Object],[object Object],[object Object],x y +1 -2
Example 3 ,[object Object],[object Object],[object Object],x y
Example 4 ,[object Object],x y
Dude! You try one.
y = x + 2 x y
[object Object],[object Object],[object Object],[object Object]
Example 1 ,[object Object],y – (-5) = -2 ( x – 3 ) y + 5 = -2x + 6 y = -2x + 1
Remember this! Parallel lines have the same slope . m = m Perpendicular lines have a slope which is a negative reciprocal of the other. m = - ( 1/m )
Example 2 Find the equation of a line passing through ( 4,2 ) and parallel to y = 3x + 7. m = 3 x 1 = 4 ; y 1 = 2 y – 2 = 3 (x - 4) y – 2 = 3x - 12 y = 3x -10
Example 3 Find the equation of a line passing through ( 6,-3 ) and m = 3 perpendicular to y = 3x + 7. m = - 1/3 x 1 = 6 ; y 1 = -3 y – (-3) = -1/3 ( x – 6 ) y + 3 = -1/3 x + 2 y = - 1/3 x - 1
Seat work: ( ½ crosswise ) ,[object Object],[object Object]
Homework: (1/2 crosswise) ,[object Object],[object Object]
[object Object],[object Object],[object Object]
Example ,[object Object],m = 2/2 or 1 y – 2 = 1 ( x -3 ) y – 2 = x -3 y = x - 1
Equation of a Line in diff. forms ,[object Object],y = x -1 Standard form : Ax + By = C x – y = 1 General form: Ax + By + C = 0 x – y – 1 = 0
Try this! ,[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],[object Object],[object Object],y = mx + b
Seatwork: (1/2 crosswise) ,[object Object],[object Object],[object Object]

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Equation Of A Line

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  • 9. y = x + 2 x y
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  • 12. Remember this! Parallel lines have the same slope . m = m Perpendicular lines have a slope which is a negative reciprocal of the other. m = - ( 1/m )
  • 13. Example 2 Find the equation of a line passing through ( 4,2 ) and parallel to y = 3x + 7. m = 3 x 1 = 4 ; y 1 = 2 y – 2 = 3 (x - 4) y – 2 = 3x - 12 y = 3x -10
  • 14. Example 3 Find the equation of a line passing through ( 6,-3 ) and m = 3 perpendicular to y = 3x + 7. m = - 1/3 x 1 = 6 ; y 1 = -3 y – (-3) = -1/3 ( x – 6 ) y + 3 = -1/3 x + 2 y = - 1/3 x - 1
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