1. 5-4 Point Slope Form

2. 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

3. 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?

4. 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, –5); m = –2

5. 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

6. 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

7. 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.

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

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