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CA_GPS_4 - to find an equation of the line that satisfies...

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Rev. S08 http://faculty.valenciacc.edu/ashaw/ COLLEGE ALGEBRA NAME: ________________________________ GPS # 4 1.4 EQUATIONS OF LINES Class Time: ____________ Date: __________ Useful Guidelines: * The slope-intercept form of the equation of a line with slope m and y -intercept b : b mx y + = * The point-slope form of the equation of a line with slope m passing through the point 1 1 ( , ) x y : ) ( 1 1 x x m y y ! = ! * The general form or standard form of the equation of a line with slope m and y -intercept b : c by ax = + * Average rate of change of f(x) with respect to x over the interval from a x = to b x = : a b a f b f ! ! ) ( ) ( * The difference quotient : h x f h x f ) ( ) ( ! + 1. Find the equation in slope-intercept form of the line satisfying the given conditions. a) slope 4; y -intercept (0,9) b) slope 7 4 ! ; y -intercept (0,-2) 2. Using the point-slope form
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Unformatted text preview: to find an equation of the line that satisfies the given conditions. Write the equation in slope-intercept form and in standard form. a) Through (6, 1); slope 1 3 ! b) Through (-3,-2); slope 4 3 ! 3. a) Write an equation in standard form where the line goes through the point (-2, 4), and is horizontal. b) Write an equation in standard form of the line passing through the points (3, 2) and (3, -2). 4. Compute the average rate of change for the function 2 x y = , between 3 ! = x and 2 = x . 5. a) Find the difference quotient for the function 5 3 ) ( ! = x x f and simplify it. b) Find the difference quotient for the function 2 ) ( 2 + = x x f and simplify it....
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