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PLEASE HELP ASSIGNMENT DUE TODAY NEED TO PASS

1)
You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

Respuesta :

MrsStrong

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

  • Slopes which are the same are parallel
  • Slopes which are negative reciprocals are perpendicular
  • Slopes which are undefined (0 in the denominator) are horizontal.
  • Slopes which are 0 are vertical.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-2}{4-6}=\frac{4}{-2}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{1--1}{1-5}=\frac{2}{-4}=\frac{-1}{2}[/tex]

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-0}{4-7}=\frac{6}{-3}=-2[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{3-1}{5-1}=\frac{2}{4}=\frac{1}{2}[/tex]

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.

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