(UNIT 6) RECOVERY #11
Parallel lines have the 
__________ slope.
Which lines are parallel?
A and B
A and C
B and C
A and D
Line A: y=1/2x+2
Line B: y=-1/2x+7
Line C: y=2x+4
Line D: y=1/2x+5/4
What is the slope of a line PARALLEL to the graph?
Don't forget to
simplify the slope.
Find the slope of a line parallel to y=1/2x+3.
Which lines are parallel to each other?
J and M
K and L
J and L
K and M
Line J: y=2/3x+1/2Line K: y=1/2x+2/3Line L: y=2/3x+3/2Line M: y=3/2x+1/2
Substitute m, x, and y               into y=mx+b
Find the equation of the line parallel to the line graphed
that passes through the point (1,1).
m=

add or subtract
y=
x=
solve for b
multiply
leave as a fraction
When substituting,put the x inparenthesis. Forexample 2=2(1)+b
y=mx+b
Parallel Equation
leave m and b as a fraction
Write an equation of the line that is parallel to y=1/2x+3
and passes through the point (10,-5).
Substitute m, x, and y               into y=mx+b
m=

add or subtract
solve for b
multiply
y=mx+b
x=
When substituting, put the x inparenthesis. For example 2=2(1)+b
Parallel Equation
y=
Perpendicular lines have 
__________ slopes.
Which lines are perpendicular?
A and C
A and B
B and C
A and D
Line A: y=1/2x+2Line B: y=-1/2x+7Line C: y=-2x+4Line D: y=1/2x+5/4
Write an equation of the line that is perpendicular to 
y=1/2x+3 and passes through the point (10,-5).
Substitute m, x, and y               into y=mx+b
m=

add or subtract
solve for b
multiply
y=mx+b
x=
When substituting, put the x inparenthesis. For example 2=2(1)+b
Perpendicular Equation
y=
Write an equation of the line that is perpendicular to y=1/3x+6 and passes through the point (2,-3).
Substitute m, x, and y               into y=mx+b
m=

add or subtract
solve for b
multiply
y=mx+b
x=
When substituting, put the x inparenthesis. For example 2=2(1)+b
Perpendicular Equation
y=
Find the distance between the two labeled points.(Round to the nearest tenth, if necessary.
A                      B
Type the ordered pairs.
A
**Remember**1) No spaces.2) To type an exponent,use the ^ button.
B
What is the approximate distance from point D to the origin?(Round to the nearest tenth, if necessary.
D                      origin
Type the ordered pairs.
**Remember**1) No spaces.2) To type an exponent,use the ^ button.
A right triangle is formed by the points shown. Find the length of the hypotenuse,
which is line segment BC. (Round to the nearest tenth, if necessary.)
B                      C
Type the ordered pairs.
**Remember**1) No spaces.2) To type an exponent,use the ^ button.
A(2,-1)
B(2,5)
C(6,-1)
Type the ordered pairs.
On the coordinate grid of a map, Josie's house is located at (2,7). Her school is
located at (-5,5). If each map unit equals one mile, what is the approximate distance
from her house to school? Round to the biggest whole number if necessary.
House                      School
**Remember**1) No spaces.2) To type an exponent,use the ^ button.
When typing,
use NO spaces.
Simplify
Parenthesis
Find the point, M, that divides segment AB into a ratio of
4:7 if A is at (-33,0) and B is at (0,44).
x1=          y1=          x2=          y2=          fraction=
When typing,
use NO spaces.
Simplify
Parenthesis
Find the point, M, that divides segment AB into a ratio of3:1 if A is at (-4,-2) and B is at (4,-10).
x1=          y1=          x2=          y2=          fraction=
When typing,
use NO spaces.
Simplify
Parenthesis
Find the point, M, that divides segment AB into a ratio of2:3 if A is at (0,15) and B is at (20,0).
x1=          y1=          x2=          y2=          fraction=
When typing,
use NO spaces.
Find the point, M, that is five-sixths of the distance 
from A(-7,2) to B(-1,-4.)
x1=          y1=          x2=          y2=          fraction:
When typing,
use NO spaces.
Find the point, M, that is two-sevenths of the distance from A(-9,2) to B(-2,-12.)
x1=          y1=          x2=          y2=          fraction:
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