1. Drill #76
Write the equation of the line (in Slope-Intercept Form) passing through the following point with the given slope:
1. m = 4, (2, 3) 2. m = ½, (-2 , 1)
Write the equation of the line (in Slope-Intercept form) parallel to the given line passing through the following point:
3. (4, 2), y = 2x (1, 3), x – y = 2

2. Drill #76
Write the equation of the line (in Slope-Intercept form) parallel to the given line passing through the following point:
1. (6, -3), y = 3x (4, 3), x + y = 2
Write the equation of the line (in Slope-Intercept form) perpendicular to the given line passing through the following point:
3. (6, -3), y = 3x (4, 3), x + y = 2

3. Drill #77
Write the equation of the line (in Slope-Intercept form) parallel to the given line passing through the following point:
1. (6, -3), y = 3x (4, 3), x + y = 2
Write the equation of the line (in Slope-Intercept form) perpendicular to the given line passing through the following point:
3. (6, -3), y = 3x (4, 3), x + y = 2

4. Writing Equations of Lines*
Write the equation of the line parallel to
3x – 5y = 6 in passing through (5, -10)
a.) Point Slope Form
b.) Slope Intercept Form
c.) Standard Form
Classwork: Write the equations of the perpendicular line

5. Drill #73 Find the slope of the following lines:
1. y = - ½x x – 2y = 4
Write the equation of the line (in SLOPE-INTERCEPT form) parallel to the given equation and passing through the following point:
3. (-1, 4), y = 2x – (2, -4), x + 2y = 3

6. 4-7 Parallel and Perpendicular Lines
Objective: To write the equation of the line that passes through a given point, parallel to a given line, and to write the equation of a line that passes through a given point, perpendicular to another line.
Open books to page 236.

7. (1) Forms* Point Slope Form: y – y1 =m ( x – x1) Standard Form:
Ax + By = C
Slope Intercept Form:
y = mx + b

8. (1.) Parallel Lines **
Definition: Lines that do not intersect. Parallel lines have the same slope.
Example:

9. (2.) Writing Equations of Parallel Lines Through a Given Point*
Steps for writing equations of a line parallel to another line and passing through a given point:
1. Determine the slope of the original line
2. Write the equation of the line in point-slope form using the slope (that you found in 1.) and the given point.
3. Change to slope-intercept or standard form (if necessary).
Example 1: page 236

10. (3.) Finding the Slopes of Lines*
Slope-Intercept form:
y = mx + b slope = m
Example:
y = - ¾ x + 2 slope = - ¾
Standard Form:
Ax + By = C slope = -A/B
x – 4y = 8 slope = -1/-4 = ¼

11. Writing Equations of Parallel Lines Through a Given Point*
Example 1*: example 1 page 236
Example 2*: 4-7 Study Guide: Parallel Lines
1*: Check your progress
Classwork: 4-7 Study Guide: Parallel Lines #1,3

12. (2.) Perpendicular Lines **
Definition: Lines that intersect at right angles. The product of the slopes of perpendicular is -1. Perpendicular lines have negative reciprocal slopes.
Example:
What would be the slope of the line parallel to
y = 2x + 1 ?

13. (4.) Writing Equations of Perpendicular Lines Through a Given Point*
Steps for writing equations of a line parallel to another line and passing through a given point:
1. Determine the slope of the original line
2. Write the equation of the line in point-slope form using the negative reciprocal slope (from step 1.) and the given point.
3. Change to slope-intercept or standard form (if necessary).
Example 3: page 238

14. Writing Equations of Perpendicular Lines Through a Given Point*
Example 1*: example 3 page 238
Example 2*: 4-7 Study Guide: Perpendicular Lines
3*: Check your progress
Classwork: page 239 #6, 8

15. Writing Equations of Perpendicular Lines passing through the x-intercept*
Example 1*: example 4 page 238
4*: Check your progress
Classwork: page 239 #9