SWBAT: Write Equations of Parallel & Perpendicular Lines ...

SWBAT: Write Equations of Parallel & Perpendicular Lines given a Slope and Point

HOMEWORK ANSWERS:(page 41-42)








Warm Up:(page 43)


Determine the equation of the line that passes through the two points (4,2) and (0,8)

y-y1=m(x-x1)

SWBAT: Write equations of Parallel and Perpendicular Lines

8 – 2

0 – 4

6

-4 = =

3

-2


Step 1:

Step 2:

Plug the point into y-y1=m(x-x1) and solve for y.

m

y=3x+8

m=3 3

SAME SLOPE

(x1,y1) (4,10)

y=3x-2

y-y1=m(x-x1)

y-10=3(x-4) y-10=3x-12

SWBAT: Graph and Write Equations of Parallel & Perpendicular Lines given a Slope and Point

Step 1:

Step 2:

Plug the point into y-y1=m(x-x1) and solve for y.

m

y= ½x-7

m=½ ½

SAME SLOPE

(x1,y1) (-2,5)

y=½x+6

y-y1=m(x-x1)

y-5=½(x+2) y-5=½x+1

SWBAT: Graph and Write Equations of Parallel & Perpendicular Lines given a Slope and Point

Step 1:

Step 2: Plug the point into y-y1=m(x-x1) and solve for y.

m

y= 2x-5

m=2 -½

Negative Reciprocal

(x1,y1) (2,-1)

y=-½x

y-y1=m(x-x1)

Y+1=-½(x-2) Y+1=-½x+1

3.) Write an equation for the line that passes through (2, –1) and is perpendicular to the line described by

y = 2x – 5.


Step 1:

Step 2: Plug the point into y-y1=m(x-x1) and solve for y.

m

y= -

x+2

m= -

3

Negative Reciprocal

(x1,y1) (2,6)

4.) Write an equation for the line that passes through (2, 6) and is perpendicular to the line described by

y = -

x + 2.


-4

3x + 6y = 6 -3x = -3x 6y = -3x + 6

6 6 6


3x + 5y = 4

-3x = -3x 5y = -3x + 4

5 5 5

Challenge:(page 46)


Summary:(page 46)



3 3 3

SWBAT: Write Equations of Parallel & Perpendicular Lines ...

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