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3-5c Review of Linear Functions Name:____________________ Date:________ Period:_______ Slope Intercept Form of a Linear Function Definition : How to graph : Formula for slope : Example 1 m= (slope) Example 2 m= (slope) Example 3 m= (slope) How to find x-intercept : y 3x 1 b= (starting point) y 2 x 1 3 b= (starting point) y 1 x 2 b= (starting point) How to find y-intercept : 3-5c Review of Linear Functions Name:____________________ Date:________ Period:_______ Point Slope Form of a Linear Function Definition : How to graph : Formula for slope : Example 1 m= y 1 m= (slope) Example 3 m= (slope) 1 ( x 3) 2 point = (slope) Example 2 How to find x-intercept : (x1,y1) y 5 1 ( x 3) 4 point = (x1,y1) y 1 2( x 4) point = (x1,y1) How to find y-intercept : 3-5c Review of Linear Functions Name:____________________ Date:________ Period:_______ Standard Form of a Linear Function Definition : How to graph : Formula for slope : Example 1 A= B= C= Example 1 A= B= C= Example 1 A= B= C= How to find x-intercept : 2x + 3y = 6 x int = Slope = y int = x - 2y = 6 x int = Slope = y int = x+y=4 x int = Slope = y int = How to find y-intercept : 3-5c Review of Linear Functions Name:____________________ Date:________ Period:_______ Line Study 1. Write at least 4 different equations in point-slope form, y – y1 = m(x – x1) , that describe this line. For each equation, identify a point on the line and the slope, and use those to write the equation. You will choose different points on the line, but use only one in each equation. x y 2. Write the equation in slope-intercept form (y = mx + b): __________________________________________ 3. Circle the equation in standard form (Ax + By = C) that describes the linear function (do the intercepts of the equation match the intercepts of the line?). x + 2y = 2 x + 2y = -2 x – 2y = 2 -x – y = 2 -x + 2y = 2 4. Choose one equation from question 1 to convert to slope intercept form (solve for y). 5. Convert the equation that you circled in question 3 to slope intercept form (solve for y). 6. Compare the final equations in questions 2, 4, and 5. What do you notice about them? -x – 2y = -2