1. Write Linear Equations in Point-Slope Form
6.2
Write Linear Equations in Point-Slope Form
LEARNING TARGETS:
Students will be able to…
Write an equation in point-slope form.
Graph an equation in point-slope form.
Use point slope to write an equation of a line given two points or a point and a slope.

2. Forms of linear equations we already know
Standard form:
Ax + By = C A, B, C are integers
Useful when graphing intercepts
Slope-intercept form
y = mx + b
use when you know the slope and y-intercept

3. What if…
What could we do to write the equation of a line if we are given two points and one of the points is not the y-intercept?
Find the slope
Use Point-Slope Form to find the equation of the line
Change to Slope-Intercept Form

4. Today’s new form of a line
Point-Slope Form
Useful when you know a point (not the y-intercept) and a slope and want to write an equation of a line.

5. Today’s new form of a line
Point-Slope Form
Given: Point: (x1, y1) Slope: m
y - y1 = m(x - x1)

6. y - y1 = m(x - x1) y - 2 = 3(x - 4) Example - Given (4, 2); m = 3
We can distribute the 3 to the x and 4 and then solve for y to change the equation into slope-intercept form.

7. Write an equation for a line through (3, 4) with a slope = 3
Write an equation for a line through (3, 4) with a slope = 3. Put your answer in slope-intercept form.

8. Write an equation for a line through (-2, 2) and (1, 8)
Write an equation for a line through (-2, 2) and (1, 8). Put your answer in slope-intercept form.

9. Write an equation of the line. Put your answer in slope-intercept form.

10. Write an equation of the line. Put your answer in slope-intercept form.

11. Tell whether the data in each table can be modeled by a linear equation. If possible, write an equation that relates y and x. x 2 4 6 8 10 y -1 5 15 29 47

12. Tell whether the data in each table can be modeled by a linear equation. If possible, write an equation that relates y and x. x 1 3 5 7 9 y 4 2 -2 -4

13. Homework
Page 245 #17-21 odd
Page 255 #1-7, 11, 12, 14-17, 20, 22