Question

Need help doing this questions, all help is appreciated thanks.

Answer 1

Answer:

The answer to your question is the third option

Step-by-step explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope = $\frac{y2 - y1}{x2 - x1}$

Process

1.- Calculate the slope of line 1

slope 1 = $\frac{6 - 2}{3 - 2}$

slope 1 = $\frac{4}{1}$

slope 1 = 4

2.- Calculate slope 2

slope 2 = $\frac{9 - 5}{1 - 0}$

slope 2 = $\frac{4}{1}$

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.