F5 Parallel and Perpendicular Lines
zero
positive
Slope
negative
undefined
Name the y-intercept and the slope.
m = slope =
rise

If negative, put sign with

top number.

run
rise
run
=
-2
3
going down hill from left toright so it is -2/3.
(0, 2) or 2
y intercept
1)

Name the slope of the line.

Name the y-intercept

if it has one.

Write the equation for

this line.

y =
2)

Name the slope of the line.

Write the equation for this line.

Name the y-intercept

if it has one.

y =
sign + or -
x
3)

Name the slope of the line.

y =

Write the equation for

this line.

Name the y-intercept.

x
sign + or -
4)
y =

Write the equation for

this line.

Name the y-intercept

if it has one.

Name the slope of the

line.

x
5)  Fill in the chart for this equation.
2x + 4y = 20

x   y

     0

6)  Fill in the chart for this equation.
2x + 3y= 18

x   y

     0

7)  Fill in the chart for this equation.
2x - 4y = -8

x   y

     0

8)  Fill in the chart for this equation.

x = 4

x   y

    -3   

      0

      6

9)  Fill in the chart for this equation.

y = -6

x   y

-3

6

Parallel lines have thesame slope.
y =    x + 6
y =    x - 7
3
3
14)
Point slope form
Chage to y intercept form.
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (3, 7) parallel to y = 3x - 6

sign + or -

same slope
15)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-5, 6) parallel to y = -2x + 5

sign + or -

16)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-2, 7) parallel to y = -3x - 4

sign + or -

17)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-5, 4) parallel to y = -2x - 6

sign + or -

18)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-4, -5) parallel to y = -2x + 6

sign + or -

Perpendicular lines haveopposite sign,reciprocal slopes.
y =    x + 6y =    x + 5
-⅓
3
19)
Point slope form
Change to y intercept form.
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-4, -5) perpendicular to y = -2x + 6

opposite sign, reciprocal slope

sign + or -

20)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-6, 4) perpendicular to y = -2x - 6

sign + or -

21)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-6, 7) perpendicular to y = -3x - 4

sign + or -

22)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (-4, 6) perpendicular  to y = -2x + 5

sign + or -

23)
Point slope form
y intercept form
y =    x
y -       =    (x -     )
y = mx + b

Write the slope-intercept form of the equation

through (3, 7) perpendicular to y = 3x - 6

sign + or -

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