–1/4; Selection 1: –1/4; Selection 2: y + 4 = –1/4(x + 2); Selection 3: –9/2

Answers LA-Geometry A Distance LearningProving Lines Parallel

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Which lines are perpendicular to the line y – 1 = One-third (x+2)? Check all that apply.y + 2 = –3(x – 4)y − 5 = 3(x + 11)y = -3x – Five-thirds y = One-third x – 23x + y = 7

y + 2 = –3(x – 4)

y − 5 = 3(x + 11)

y = -3x –

y = x – 2

3x + y = 7

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(–2, –4)(–2, 4)(2, –4)(2, –2)

(–2, –4)

(–2, 4)

(2, –4)

(2, –2)

–2–1/21/22

–2

–1/2

1/2

y = (–1/2)x – 3y = –2x + 2y = (1/2)x – 1 y = (1/2)x – 3

y = (–1/2)x – 3

y = –2x + 2

y = (1/2)x – 1

y = (1/2)x – 3

Are the students correct? Explain.

Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).

Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.

Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.

Neither student is correct; the slope of the parallel line should be 1.

–4 –1/41/44

–4

–1/4

1/4

Which line is parallel to the line 8x + 2y = 12?

[Image: On a coordinate plane, a line goes through (negati...]

[Image: On a coordinate plane, a line goes through (negati...]

[Image: On a coordinate plane, a line goes through (negati...]

[Image: On a coordinate plane, a line goes through (negati...]

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

The slope is and contains the point (0, 2).

The slope is and contains the point (0, −2).

The slope is and contains the point (0, 2).

The slope is and contains the point (0, −2).

What is the equation of the line that is parallel to the given line and passes through the given point?

y = –2

x = –2

y = –4

x = –4

–2–1/21/2 2

–2

–1/2

1/2

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?

4x – 5y = 5

5x + 4y = 37

4x + 5y = 5

5x – 4y = 8

y = [___] x + [___]

Answer:

Which points are on the perpendicular bisector of the given segment? Check all that apply.(−8, 19)(1, −8)(0, 19)(−5, 10)(2, −7)

(−8, 19)

(1, −8)

(0, 19)

(−5, 10)

(2, −7)

What is the slope of the line that is parallel to the given line and passes through the given point?

Answers:

Selection 1:–1/4

Selection 2:y + 4 = –1/4(x + 2)

Selection 3:–9/2

y + 4 = –4(x + 2)y + 4 = 4(x + 2)✔ y + 4 = –1/4(x + 2)y + 4 = 1/4(x + 2)

y + 4 = –4(x + 2)

y + 4 = 4(x + 2)

✔ y + 4 = –1/4(x + 2)

y + 4 = 1/4(x + 2)

✔ –9/2–7/247

✔ –9/2

–7/2

Which lines are perpendicular to the line y – 1 = [image 1] (x+2)? Check all that apply.y + 2 = –3(x – 4)y − 5 = 3(x + 11)y = -3x – [image 2] y = [image 3] x – 23x + y = 7

y + 2 = –3(x – 4)

y − 5 = 3(x + 11)

y = -3x –

y = x – 2

3x + y = 7

Are the students correct? Explain.

Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2).

Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6.

Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6.

Neither student is correct; the slope of the parallel line should be 1.

What is the slope of the line that is parallel to the given line and passes through the given point?

Answers:

Selection 1:–1/4

Selection 2:y + 4 = –1/4(x + 2)

Selection 3:–9/2

What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

The slope is and contains the point (0, 2).

The slope is and contains the point (0, −2).

The slope is and contains the point (0, 2).

The slope is and contains the point (0, −2).

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