Find the Point on the Line $y=4 x+8$ That Is Closest to the Origin

question 117

Multiple Choice

Find the point on the line $y=4 x+8$ that is closest to the origin.

• A) \(\left(-\frac{31}{17}, \frac{8}{17}\right)\)
• B) \(\left(-\frac{34}{17}, \frac{9}{17}\right)\)
• C) \(\left(-\frac{32}{17}, \frac{10}{17}\right)\)
• D) \(\left(-\frac{32}{17}, \frac{8}{17}\right)\)
• E) \(\left(-2, \frac{8}{17}\right)\)

---

Definitions:

Scientifically Innovative

Describes novel approaches, tools, or findings that significantly advance understanding or practices within the scientific field.

Crucial Experiment

An experiment that is critically important in testing and potentially proving or disproving a hypothesis or theory.

Hypothesis

A hypothesis is a proposed explanation for a phenomenon, serving as a starting point for further investigation to be tested through experimentation or observation.

Investigative Method

A systematic approach employed in various disciplines to explore and gather facts or information about a particular subject, phenomenon, or aspect of study.