Question

Which quadrants, if any,do NOT contain any points on the line represented by $x-y=18$?

• A. I
• B. II
• C. III
• D. IV

Answer 1

The correct option is B II

First, rewrite the line in slope-intercept form:

$y=x-18$

Find the intercepts by setting $x$ equal to $0$ and $y$ equal to $0$:

$y=0-18$ $0=x-18$

$y=-18$ $x=18$

Plot the points: (0, -18), and (18, 0). From the sketch, you can see that the line does not pass through quadrant II.