What is the Cartesian equation of the line?

Question 47

MediumOriginal question

A line passes through $A(2, -1, 3)$ and $B(4, 3, -1)$ .

\frac{x - 2}{1} = \frac{y + 1}{2} = \frac{z - 3}{-2}

Correct answerYour answer

\frac{x + 2}{1} = \frac{y - 1}{2} = \frac{z + 3}{-2}

Correct answerYour answer

\frac{x - 2}{4} = \frac{y + 1}{3} = \frac{z - 3}{-1}

Correct answerYour answer

\frac{x - 2}{1} = \frac{y + 1}{2} = \frac{z - 3}{2}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

Denominators $4, 3, -1$ use the coordinates of $B$ as the direction.

Ten questions from Three-Dimensional Geometry, at your own pace.

Ten questions from Three-Dimensional Geometry, at your own pace.