1. Warm Up February 19, 2014
If the line segment AB has a ratio of 2:5, what would be the ratio of the line segment BA?
2. Find the point P between the points C(-2, 5) and D(1, -4) that has a ratio of 1 to 3.

2. EOCT Week 6 # 3 Solve the equation 14 = ax + 6 for x. a. x =14/a – 6
b. x = 20/a
c. x = 14/(a + 6)
d. x = 8/a

3. Parallel and Perpendicular Lines
Write the equation of a line that passes through a given point, parallel to a given line.
Write the equation of a line that passes through a given point, perpendicular to a given line.

4. Parallel lines
Lines in the same plane that do not intersect are called parallel lines. Parallel lines have the same slope.

5. Perpendicular Lines
Lines that intersect at right angles are called perpendicular lines. The slopes of these lines are opposite reciprocals.
Opposite reciprocals????

6. neither parallel perpendicular
From the given equations, determine if the corresponding lines are parallel, perpendicular, or neither.
y = 2x + 2
y = 4x - 2
neither
2x + 6y = 1
4x + 12y =3
parallel
perpendicular

7. Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x + 8.
m = 2/3 and the point is (3,6)
y = mx+b
6= 2/3(3)+b
6= 2+b
4= b
y = 2/3x+4
Parallel and Perpendicular Lines
MAP TAP

8. Write the equation of the line that passes through (-6,4) and is parallel to y = 1/3x + 2.
m = 1/3 and the point is (-6, 4)
y = mx+b
4= 1/3(-6)+b
4 = -2+b
6 = b
y = 1/3x+6
Parallel and Perpendicular Lines
MAP TAP

9. Write the equation of the line that passes through (4,-5) and is parallel to y +2x=4.
m = -2 and the point is (4,-5)
y = mx+b
-5 = -2(4)+b
-5 = -8+b
3 = b
y = -2x+3
Parallel and Perpendicular Lines
MAP TAP

10. Write the slope intercept form of an equation for the line that passes through (12,3), and is parallel to the graph of 4x + 2y = 8.

11. Write the equation of the line that passes through (6,-5) and is perpendicular to y = 2x+4.
m = -1/2 and the point is (6,-5)
y = mx+b
-5 = -1/2(6)+b
-5 = -3+b
-2 = b
y = -1/2x-2
Parallel and Perpendicular Lines
MAP TAP

12. Write the equation of the line that passes through (6,-7) and is perpendicular to y = 2/3x+4.
m = -3/2 and the point is (6,-7)
y = mx+b
-7 = -3/2(6)+b
-7 = -9+b
2 = b
y = -3/2x+2
Parallel and Perpendicular Lines
MAP TAP

13. Write the equation of the line that passes through (-4,-3) and is perpendicular to 4y +2x=4.
Put in slope int form.
m = ___ and the point is (-4,-3)
y = 2x+5
MAP TAP

14. Write the slope intercept form of an equation for the line that passes through (1, -3), and is perpendicular to the graph of 3x+6y = 9

15. Write the slope intercept form of an equation for the line that passes through (-6, 5), and is perpendicular to the graph of x -2 y= 5