5.3 Write Linear Equations in Point-Slope Form Big Idea: -Verify that a point lies on a line, given an equation of a line. -Derive linear equations by.

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Presentation transcript:

5.3 Write Linear Equations in Point-Slope Form Big Idea: -Verify that a point lies on a line, given an equation of a line. -Derive linear equations by using the point-slope formula.

Previously you learned one strategy for writing a linear equation when given the slope and a point on the line. In this lesson you will learn a different strategy – one that uses the point-slope form of an equation of a line. What we Know so far…. Slope Intercept Form: y = mx + b The New Stuff… Point- Slope Form The point-slope form of the equation of the nonvertical line through a given point with slope of m is: Again, where m is the slope and is a point on the line.

Example: Write an equation in point-slope form. (1) Write an equation in point-slope form of the line that passes through the point (-1, 4) and has a slope of -2. (2) Write an equation in point-slope form of the line that passes through the point (-3, 1) and has a slope of 3.

Using Point-Slope Write an equation in point-slope form: Find the slope of the line: Write the equation in point-slope form. Use the point (2, 2):

Graph an equation in point-slope form: (1) Graph the equation y - 1 = -(x - 2) (2) Graph the equation

Write an equation in point-slope form of the line shown: Find the slope of the line: Write the equation in point-slope form. You can use either given point. (1, 1) (-1, 3)

Example 2: Write in point-slope form: Find the slope of the line: Write the equation in point-slope form. You can use either given point. (-2, 3) (1, -3)

Extra Example: Write an equation in point-slope form of the line that passes through the points (2, 3) and (4, 4).