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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 PointSlope Form of the Equation of a Line 1 1 Write the pointslope form of the equation of the line with slope of 3 that passes through (1,2). Substitute into the pointslope form; yy ( ) 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(x4) Substituting the values into the euation y+3 = 4(x4) 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.)33 y= 4(x4)33 y= 4x163 yy 1 = m(xx 1 ) (slope intercept form) Y=4x19 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 pointslope 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.
 Fall '11
 jayjohn

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