Lesson: x-intercepts and y-intercepts

Rate this video: 

Comment on x-intercepts and y-intercepts

Hi Brent,

Sorry, I am struggling to understand your explanation for below question


Statement 1: The slope of line k is greater than the slope of line j.

Case a: the slope of line j is positive

Notice that, if line k has a greater slope, then the y-intercept of line j IS greater than the y-intercept of
line k

I didn't understand above. Can you explain with co-ordinate or e.g.
gmat-admin's picture

Link: https://gmatclub.com/forum/in-xy-coordinate-plane-lines-j-and-k-intersec...

Glad to help!

Notice that, on the first diagram, there is 1 blue line and 3 red lines. Let's IGNORE the bottom two red lines, and focus all of our attention on the red line that has its y-intercept just below the blue line.

The blue line is line j, and the one red line is line k

Let's say the Y-INTERCEPT of line j is -3, which means the blue line passes through the point (0, -3)
Let's also say the Y-INTERCEPT of line k is -4.

Okay, now recognize that the SLOPE of line k (red line) is greater than the SLOPE of line j (blue line).
At the same time, the Y-INTERCEPT of line k (red line) is less than the Y-INTERCEPT of line j (blue line), since -4 is less than -3.

Does that help?


Add a comment

Tweet about our course!

If you're enjoying our video course, help spread the word on Twitter.

Change Playback Speed

You have the option of watching our videos at various speeds (25% faster, 50% faster, etc). To change the playback speed, click the settings icon on the right side of the video status bar.

Have a question about this video?

Post your question in the Comment section below, and we’ll answer it as fast as humanly possible.