5-4 Point Slope Form

Point Slope Form In slope-intercept form, we used the _______________ to write an equation of a line. The Point-Slope form of a linear equation is used when you don’t know the .   Point-Slope Form of a Linear Equation: Given a point and a slope m you can use the formula: _______________ to write the equation of a non-vertical line. represents a specific point on the graph. (x, y) represents any point. Y-intercept Y-intercept

Writing an equation in Point Slope Form EXAMPLE: A line passes through (1, -4) and has a slope 3. What is an equation of the line?

TRY THESE Examples: Write an equation of the line in slope-intercept form through the given point and with the given slope m.  1. (2, 1); m = 3 2. (–3, –5); m = –2

Graphing a Line From Point Slope Form In order to graph the line from point slope form, we need the ______ and the _______ to plot another point. EXAMPLE: What is the graph of the equation ? 1) Plot the point   2) Use the slope to find the next point. 3) Draw a line through the two points. point slope

Using Two Points to Write an Equation You can write the equation of a line in point slope form given any two points on the line EXAMPLE: Write an equation for the line. 1) Find slope using the slope formula   2) Use point slope form to create an equation 3) Use either point for

USING A TABLE TO WRITE AN EQUATION Model the data in the table with a linear equation in point slope form. What do the slope and y-intercept represent? Find the slope using two points. Pick one of those points to write the equation in Point-Slope form. 3) Rewrite in slope-intercept form.

TRY THESE Examples: Write the equations in Point-Slope Form. 2)

Homework:. TONIGHT:. P. 340 #’s 6-18. TOMORROW:. p Homework: TONIGHT: P. 340 #’s 6-18 TOMORROW: p. 343-344 #’s 3-11, 13-23