1. Section P.2 – Linear Models and Rates of Change

2. Slope Formula The slope of the line through the points (x 1, y 1 ) and (x 2, y 2 ) is given by:

3. Forms of a Line Point Slope Form - The equation of a line that contains the point (x 1,y 1 ) and whose slope is m is: Slope-Intercept Form - The equation of a line that contains the y-intercept (0,b) and whose slope is m is: General Form-

4. Parallel and Perpendicular Lines If the slope of line is then the slope of a line… Parallel is Perpendicular is

5. Example 1 Algebraically find the slope-intercept equation of a line that contains the points (-1,4) and (-4,-2). Find Slope 2 m (-1,4) (x 1,y 1 ) (-4,-2) (x 2,y 2 ) Substitute into point-slope

6. Example 2 Find an equation for the line that contains the point (2,-3) and is parallel to the line. Find the Slope of the original line: Find the equation of the Parallel line: Rewrite the equation into Slope- Intercept Form m We know a point and the slope Parallel lines have same slope