Question

if the slopes of two lines are different and their product is not equal to -1, then the two lines are neither parallel nor perpendicular.

example 2
determine whether the two lines are parallel or perpendicular.

table
x | y
1 | 3
2 | 6
3 | 9
4 | 12

graph showing a line passing through points such as (0, -1) and (1, 1)

solution
in order to compare the two lines, find the slope of both the lines.

value: 1
find the slope of the line given in the table.
a. 3
b. -3
c. -1/3
d. 1/3

Explanation:

Identify points from the table

Using the points \((x_1, y_1) = (1, 3)\) and \((x_2, y_2) = (2, 6)\).

Calculate the slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{2 - 1} = 3 $$

Answer:

• (a) 3 (Correct answer)
• (b) -3
• (c) -1/3
• (d) 1/3