Find The Equation Of The Line FTEOTL in Standard Form

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Presentation transcript:

Find The Equation Of The Line FTEOTL in Standard Form

Things you need to know Things used in finding the equation of a line Point slope form of the equation Slope intercept form of the equation Standard form of the equation Slope from two points Definition of perpendicular Definition of parallel

In case you forgot y - y1 = m ( x - x1 ) y = m x + b Ax + By = C perpendicular lines have slopes that are negative recipricals of each other. Parallel lines have slopes that are equal

FTEOTL through 5,4 with a slope of 3 Since we have a point and a slope, the most efficient way to do this problem would be using the point slope form of the equation y - y1 = m ( x - x1 ) Plug in the point and the slope y - 4 = 3 ( x - 5 ) Simplify y - 4 = 3x - 15 Put into standard form 3x - y = 11

FTEOTL where m = and b = -2 Since we have the slope and the y intercept the most efficient way of doing this problem would be to use the slope intercept form y = mx + b Plug in the values we get Put in to standard form first eliminate the fractions by multiply through by the LCD Put into standard form 2y = 3x - 4 3x - 2y = 4

FTEOTL through the points (4,2) , (-2, -2) First find the slope using the slope from two points formula Plug in the values Using the slope and one of the points in the point slope formula we get Simplify Put into standard form first eliminating the fractions 3y - 6 = 2x - 8 2x - 3y = 2

FTEOTL Perpendicular to 2x - 3y = 8 through the point ( 2, 1 ) Perpendicular means the slopes are negative inverses of each other So mPerpendicular = Using this slope, and the point given we get Simplifying we get Put into Standard form we get 2y - 2 = -3x + 6 3x + 2y = 8

FTEOTL Parallel to 2x - 3y = 9 Through the point 4, 3 Parallel means has the same slope