what is the slope of the line that passes through (-2, 5) and (6, -10)?

What is the slope of the line that passes through (-2, 5) and (6, -10)?A. 15/8B. 8/15C. -15/8D. -8/15

[Default][MC Any][MC All]

What is the slope of the line that passes through and ?

A. -335/1484B. 335/1484C. 1484/335D. -1484/335

[Default][MC Any][MC All]

45,

7

3 5,

10 8

+ m

- m

Zero m

Undefined m

UP

RIGHT

UP

LEFT

Horizontal

Vertical

What is the sign of the slope of the graph below?

(positive or negative)• positive

R

5-5

-5

5

S

P

Q

T

U

V

W

0

Find the slope of each line segment.

What do you think is the sign of the slope?

+m , -m, 0m or

What is the slope of the given graph?

• undefined

What kind of SLOPE will you have?

3

7m 8m 0m

3

0m

What is the direction of the line with a slope of -2/5?

(left or right)• left

REMEMBER: Mr. Relles can only help you during class instruction and practice work NOT during your QUIZ/TEST.

Slope is the steepness of the line

risem

run

22. 8

3y x

2

3m

y-intercept = -8

rise

run

Slope is the steepness of the line

risem

run

3. 5y x

5m

y-intercept = origin

rise

run

Slope is the steepness of the line

risem

run

4. 3y

0m

y-intercept = -3

rise

run

Express the following linear equations in y-intercept form. y = mx + b

DAY 3: Writing Linear Equations in Slope-intercept Form

1. 2x + 3y – 12 = 0

Slope:______

y-intercept: _____

Standard Form:

3. 7y = 14x – 7

Slope:________

y-intercept: ______

Standard Form:

4. –y = ½ x – 9

Slope:________

y-intercept: ______

Standard Form:

5. 9x + 2y – 20 = 0

Slope:________

y-intercept: ______

Standard Form:

6. 2x + 5y = 30

A. m=-2/5 y-intercept=30B. m=2/5 y-intercept=30C. m=-2/5 y-intercept=6D. m=2/5 y-intercept=-6

[Default][MC Any][MC All]

7.3y = -9x + 12

Slope:_______

y-intercept: ______

8. –y = 5 – 3x

Slope:_______

y-intercept: ______

1. What is the equation of the line with a slope of 7 and y-intercept at 2?

Y-intercept Form is y = mx + b

2. What is the equation of the line with a slope of 2/3 and y-intercept at 5?

3. What is the equation of the line with a slope of -6 and y-intercept at -3?

Y-intercept Form is y = mx + b

4. What is the equation of the line with a slope of -1/2 and y-intercept at 5?

5. What is the

equation of the graph?

5. What is the

equation of the graph?

6. What is the equation of the graph?

7. What is the

equation of the graph?

8. What is the equation of the graph?

Given a slope and a point.

1 1( )y y m x x

What is the slope of the line that passes through (-2, 5) and (6, -10)?A. 15/8B. 8/15C. -15/8D. -8/15

[Default][MC Any][MC All]

What is the slope of the line that passes through and ?

A. -335/1484B. 335/1484C. 1484/335D. -1484/335

[Default][MC Any][MC All]

45,

7

3 5,

10 8

What is the slope of the given graph?

• undefined

What is the direction of the line with a slope of -2/5?

(left or right)• left

Point-Slope Form is 1. What is the equation of the line with a slope of 7 that passes through (2, 5)?

1 1( )y y m x x

1 1( )y y m x x

2. What is the equation of the line with a slope of -2 and that passes through (-2, 7) ?

Point-Slope Form is 1 1( )y y m x x

1 1( )y y m x x

3. What is the equation of the line with a slope of 2/3 that passes through (3, 6)?

4. What is the equation of the line with a slope of -1/5 and that passes through (2, -7)?

1 1( )y y m x x

Parallel Perpendicular Intersecting

2. What is the slope of the line that is parallel to a line that passes through (2, 5) and (-3, 1)?

0%

0%

0%

0% 1. -4/52. 4/53. 5/44. -5/4

3. What is the slope of the line that is perpendicular to the line passing through (2, 5) and (-3, 1)?

0%0%0%0%

1 2 3 4

1. -4/52. 4/53. -5/44. 5/4

4. What is the slope of the line 2x +3y – 10=0?

1 2 3 4

0% 0%0%0%

1. 2/32. 53. 3/24. -2/3

5. What is the slope of the line that is parallel to 2x +3y – 10=0?

0%

0%

0%

0% 1. 3/22. -3/23. 2/34. -2/3

6. What is the slope of the line that is perpendicular to 2x +3y – 10=0?

0%0%0%0%

1 2 3 4

1. 2/32. -3/23. 3/24. -2/3

7. What can you say about 4y=5x-28 and 5x+4y-8=0?

0%0%0%

1 2 3

1. Parallel2. Perpendicular3. Intersecting

8. What can you say about 2x-y-3=0 and x+2y=0?

0%0%0%

1 2 3

1. Parallel2. Perpendicular3. Intersecting

9. What can you say about 2x-3y+3=0 and 4x-6y-30=0?

0%0%0%

1 2 3

1. Parallel2. Perpendicular3. Intersecting

10. What is the equation of the line that passes through (4, 2)

and parallel to y=3x-8?

0%0%0%0%

1 2 3 4

1. 3x-y-3=02. 3x-y+10=03. -3x-y-10=04. 3x-y-10=0

11. What is the equation of the line that passes through (-1, 3)

and parallel to y=2x+5?

0%0%0%0%

1 2 3 4

1. 2x-y+5=02. -2x-y+5=03. 2x-y-5=04. 2x+y+5=0

12. What is the equation of the line that passes through (4, 2)

and perpendicular to y=3x-8?

0%0%0%0%

1 2 3 4

1. x+3y-10=02. -x+3y-10=03. x+3y+10=04. x-3y-10=0

13. What is the equation of the line that passes through (0, 2)

and perpendicular to y=-5x-3?

0%0%0%0%

1 2 3 4

1. x-5y-10=02. x-5y+10=03. x+5y-10=04. -x-5y+10=0

Step 1: Graph the linesStep 2. Determine the following a)Slope of the lineb)Slope of the line parallel to the given linec)Slope of the line perpendicular to the given line

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Practice 10) Robert is making a drawing on the coordinate grid below. He is drawing a path. One side of the path represented by ST is already drawn. He wants to draw the other side of the path through point R and point Q so that QR will be parallel to ST.

Which of the following coordinates for point Qwould make QR parallel to ST?

A.(-6, 2) B. (-7, 0)

C. ( 6, 2) D. (7, 0)

Practice 6) Line segment AB passes through (2,2) and (5,3).

What is the slope of a line that is parallel to the line AB.

Practice 9) An airport designer drew a plan for two runways on a rectangular coordinate system. Line AB represents the centerline of the first runway and line CD represents the centerline of the second runway.

If the designer chosea y-coordinate of 1 for point D, what must be the x-coordinate for the two runways to be parallel?

Practice 9 continued

Practice 10continued)

Practice 11) The course of a monorail is being changed. Engineers have decided the support column at point C on the grid below should be relocated. They have also decided that the rebuilt course should be in the shape of a Parallelogram.

Part A) Plot the new location of the support column and write the coordinates.Label the new location C’.

Part B) Support your findings from part A by showing that the slopes of AB and C’D are the same and that the slopes of AD and BC’ are the same.