2.3_bzca5e - Section 2.3 Linear Functions and Slopes The...

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Unformatted text preview: Section 2.3 Linear Functions and Slopes The Slope of a Line change in y 5 1 6 6 change in x 2 3 5 5 m or- - = = =-- -- Find the slope of the line that passes through (-2,5) and (3,-1) Example Find the slope of the line passing through the pair of points. (5,-2) and (-1,7) The Point-Slope Form of the Equation of a Line 1 1 Write the point-slope form of the equation of the line with slope of 3 that passes through (-1,2). Substitute into the point-slope form; y-y ( ) 2 3( 1) 2 3( 1) m x x y x y x =-- =- -- = + Solving in both forms A.Write the equation in point slope form of the line with slope 4 that passes through the point (4,-3). B.Then solve the equation for y y 1 x 1 y-(-3) = 4(x-4) Substituting the values into the euation y+3 = 4(x-4) This is Point Slope Form. Apply the distributive property for the parentheses. This will give us the slope intercept form. (The equation is solved for y.)-3-3 y= 4(x-4)-3-3 y= 4x-16-3 y-y 1 = m(x-x 1 ) (slope intercept form) Y=4x-19 Example Write the point slope form of the equation of the line with slope of -4 that passes through (2,5). Then solve for y. I f y o u a r e g i v e n t w o p o i n t s a n d y o u n e e d t o w r i t e a n e q u a t i o n i n p o i n t- s l o p e f o r m , t h e n y o u c a n u s e e i t h e r p o i n t f o r ( x 1 , y 1 ) . 2 1 2 1 Write the point-slope form of the equation of the line that passes through (-1,2) and (-4,5). Then solve for y....
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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2.3_bzca5e - Section 2.3 Linear Functions and Slopes The...

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