ms. ballinger ’ s advanced geometry class!! 100 200 400 300 400 slope equations of lines parallel...

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Ms. Ballinger’s Advanced Geometry Class!!

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Page 1: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Ms. Ballinger’s

Advanced Geometry Class!!

Page 2: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

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Slope Equations of Lines

Parallel and Perpendicular

Lines

Etc.

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Page 3: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Find the slope of the line that contains the points(-1, 9) and (4, 5).

m = - 4/5

Page 4: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of a line with a slope of 3 containing the

point (0,-7). Write the equation in slope-intercept form.

y = 3x - 7

Page 5: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Identify the slope of every line parallel to the line

4x – 6y = 18.

m = 2/3

Page 6: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Determine whether the point is on the line. Show work to

support your answer.

-5x + 3y = -8; (2,6)

NO!!

Page 7: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

What is the slope of a horizontal line?

m = 0

Page 8: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

y – 5 = - 4(x + 1)

Write the equation of a line with a slope of -4 containing the point

(-1, 5). Write the equation in point-slope form.

Page 9: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Identify the slope of every line perpendicular to the line

y – 6 = 3(x + 1).

m = -(1/3)

Page 10: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Given the point (2, 9) is on theline, determine the B value

of the line below.4x + By = -10

B = -2

Page 11: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Identify the slope of the line3x – 4y = 20.

m = 3/4

Page 12: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of any horizontal line.

Answers will vary. The equation must be in the form y = ___.

Page 13: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the line parallel to the line

3x – 6y = 30 containing thepoint (2, -7). The equation should be written in slope-intercept form.

y =(1/2)x - 8

Page 14: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Identify the coordinates of the x-intercept of the line below.

5x + 2y = -30

(-6, 0)

Page 15: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

A line has a slope of .It contains the points A(2,5) and B(-1,y).

Identify the y-coordinateof point B.

y = 3

2

3

Page 16: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the vertical line that contains the

point (-7, 2).

x = -7

Page 17: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the line parallel to the line y = 3

containing the point (-1, -5).

y = -5

Page 18: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the line (in slope-intercept form)

perpendicular to the line y = x passing through the origin.

y = -x

Page 19: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Identify the slope of the line that contains the points (-3,6) and (-3,-1)

The slope of a vertical line is undefined!

Page 20: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the linethat contains the points

(-4,7) and (5,1). The equation should be written

in point-slope form.

y – 7 = (-2/3)(x + 4) or y – 1 = (-2/3)(x – 5)

Page 21: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

Write the equation of the line perpendicular to the line4x – 3y = 15 containing

the point (8, 1). The equation should be written in

point-slope form.

y – 1 = (-3/4)(x – 8)

Page 22: Ms. Ballinger ’ s Advanced Geometry Class!! 100 200 400 300 400 Slope Equations of Lines Parallel and Perpendicular Lines Etc. 300 200 400 200 100 500

What is the name of Miss Clum’s younger sister?

Katie!