Answers A. CostelloWCA 5324 Geometry 1st Nine Weeks 26-27Slopes of Parallel and Perpendicular Lines

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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

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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 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 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...]

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

(–2, –4)(–2, 4)(2, –4)✔ (2, –2)

(–2, –4)

(–2, 4)

(2, –4)

✔ (2, –2)

–2–1/2✔ 1/22

–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

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

What is the equation of the line parallel to the given line with an x-intercept of 4?

Answers:

y:4

x:-16

Question text not available

Answer:

-16

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)

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