Text Explanation

In order to fully describe a line (and write its equation), we need at least two distinct points on the line. We are asked to select the correct equation for line k. We should first confirm that we have the points needed.

We are told the values of the x-intercept and y-intercept. These are the points on the line where it intersects the x-axis and y-axis respectively. Therefore, the y-coordinate is 0 at the x-intercept, and the x-coordinate is 0 at the y-intercept.




These are two points on the line! We have enough information to find our equation. Let's do so. However, instead of determining the equation, we can take a more efficient approach by testing the answer choices.

None of the answer choices is in the form of . But, if we plug our coordinates in for x and y, the equality should hold. Let's take this approach, starting with the x-intercept.





Only the line equations from answer choices (A) and (B) hold true when the x-intercept coordinates are plugged in. Now let's plug in the y-intercept coordinates to find whether (A) or (B) is correct.





Only the equation from (A) is satisfied for both the x-intercept and the y-intercept. Therefore, we choose answer choice (A), .

Answer choice (A) is correct.

Still have a question? Click here for even more FAQs.

Related Lessons

Watch the lessons below for more detailed explanations of the concepts tested in this question. And don't worry, you'll be able to return to this answer from the lesson page.

Graphing Lines

5:19

Intercepts

6:57

Writing Equations of Lines

11:35