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2.3_bzca5e

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

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Section 2.3 Linear Functions and Slopes

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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)

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Example Find the slope of the line passing through the pair of points. (5,-2) and (-1,7)

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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 = - - = - - - = +

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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.

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If you are given two points and you need to write an equation in point-slope form, then you can use either point for (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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2.3_bzca5e - Section 2.3 Linear Functions and Slopes The...

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