180k views
2 votes
Ben claims that the points (2, 4), (4,8), and (8, 12) lie on a line

Show that Ben is incorrect.

User Sergejs
by
8.4k points

1 Answer

4 votes

Final answer:

To determine if the points lie on a line, we can calculate the slopes between the points and see if they are equal. If the slopes are different, the points do not lie on a line.


Step-by-step explanation:

To determine whether the points (2, 4), (4,8), and (8, 12) lie on a line, we can use the slope formula. The slope (m) between two points (x1, y1) and (x2, y2) is given by the formula m = (y2 - y1) / (x2 - x1). Let's calculate the slope between the first two points:

m = (8 - 4) / (4 - 2) = 4 / 2 = 2

Now let's calculate the slope between the second and third points:

m = (12 - 8) / (8 - 4) = 4 / 4 = 1

Since the slopes are different for the two pairs of points, these points do not lie on a line. Therefore, Ben's claim is incorrect.


Learn more about Points and slopes

User Wojtek Erbetowski
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories