AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Slopes of Parallel and Perpendicular Lines

Partitioning a Line Segment Answers

13 verified answers3 views
4

The given line segment has a midpoint at (−1, −2).

Question illustration
y
y = −4x − 4
y
y = −4x − 6
y
y = x – 4
Option y
y
y = x – 6
Option y
6

On a coordinate plane, a line goes through (0, 1) and (5, 0).

Question illustration
y
y = x + 1
Option y
y
y = x + 5
Option y
y
y = 5x + 1
y
y = 5x + 5
10

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options.

Question illustration
A
y = –x – 2
Option A
B
2x + 5y = −10
C
2x − 5y = −10
D
y + 4 = –(x – 5)
Option D
E
y – 4 = (x + 5)
Option E
12

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).

Question illustration
A
x = −6
B
x = −4
C
y = −6
D
y = −4
14

A given line has the equation 10x+2y=−2 .What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

A
y=−5x+12
B
5x+y=12
C
y−12=5(x−0)
D
5x+y=−1
16

On a coordinate plane, a line goes through (negative 8, negative 4) and (8, negative 4). A point is at (2, 6).

Question illustration
A
x = 2
B
x = 6
C
y = 2
D
y = 6
17

The given line passes through the points and (4, 1).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).

Question illustration
A
y = x + 3
Option A
B
y = x + 2
Option B
C
y = x + 3
Option C
D
y = –x + 2
Option D
19

On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).

Question illustration
A
3x − 4y = −17
B
3x − 4y = −20
C
4x + 3y = −2
D
4x + 3y = −6
20

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).

Question illustration
A
y – 1=(x + 3)
Option A
B
y – 1=(x + 3)
Option B
C
y – 1= (x + 3)
Option C
D
y – 1= (x + 3)
Option D

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