Question

What is the equation of the line of reflection in the following coordinate plane?Angle abc has the points (4, -1), (5, 1), and (3, 3) and the other angle has the points (-2, -1), (-1, 3), and (-3, 1)
x = 0
y = 2
x = 1
y = 1

Answer 1

Answer:Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.Question 1: Option B:

Question 2: Option D:

Solution:

Question 1:

The point on the given line are (2, 4) and (4, –2).

Slope of the given line:

m = –3.

Slope of perpendicular line = –1 ÷ Slope of the given line

Slope of perpendicular line =

Perpendicular line passing through the point (3, 1).

Slope -intercept form using point slope formula,

Option B is the correct answer.

Question 2:

The point on the given line are (0, –3) and (2, 3).

Slope of the given line:

m = 3.

Slope of parallel lines are equal.

Slope of parallel line =3

parallel lines passing through the point (–1, –1).

Point slope formula:

Option D is the correct answer.

Step-by-step explanation: