1. Warm-Up Find the slope of the line that passes through the two points:
a. (-2,3) and (5,-1) b. (6,-2) and (-1,-5)
Put each equation into slope-intercept form.
a b.
SOLVE FOR “Y”

2. Warm-Up
Given slope = -3, and y-intercept = (0,5), create the equation of the line in slope-intercept form.
Look at the graph below and create an equation in slope-intercept form.
m = -1/2
b = (0,2)

3. 5.2 Point-Slope Form

4. Where m is the slope and b is the intercept
What we Know so far….
Slope Intercept Form
Where m is the slope and b is the intercept

5. Write an equation given the slope and
y-intercept.
Write an equation of a line given the slope and the y-intercept. 1. 2. 3.

6. Remember how to graph using slope-intercept form??
Slope-Intercept Form– requires the y-intercept and the slope of the line.
m = slope of line
b = y-intercept

7. What is the equation of this line?
Slope-Intercept Form:
m = slope of line
b = y-intercept
m = -6/5
b = (0,2)

8. What is the equation of this line?
Slope-Intercept Form:
m = slope of line
b = y-intercept
m = 3/2
b = (0,-3)

9. What is the equation of the line?
Slope-Intercept Form:
m = slope of line
b = y-intercept
m = 3/4
b = (0,4)

10. What is Point-Slope Form?
We are going to use this, when given slope, m, and a random point, (x1,y1)

11. Given a point (1,2) and m = 2/3, write the equation of the line.
This is the equation of the line in point-slope form!!
What if the directions said to write the equation in slope-intercept form?

12. Given a point (1,-5) and m = 3, write the equation of the line.
This is the equation of the line in point-slope form!!
What if the directions said to write the equation in slope-intercept form?

13. Given a point (-3,7) and m = -2, write the equation of the line.
This is the equation of the line in point-slope form!!
What if the directions said to write the equation in slope-intercept form?

14. Point-Slope Form
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

15. Point-Slope Form
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

16. 13.5 – Equations of Lines
Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

17. Given a point (2,3) and m = 3 create an equation of the line.
Using Slope-Intercept:
Using Point-Slope Form:
We don’t know the y-intercept,
so let’s plug in what we know and
solve for “b”
Just plug in everything you know!
Now just solve for “y”
Now just plug in the “m” and “b”
Which way is easier???

18. Using Point-Slope Form1 2 4 3 5 -1 -2 -3 -4 -5
(2,2)
Plug it into the point-slope form
Simplify
We need the slope and a point:

19. Write the Equation in Point-Slope Form