Question

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line ?

• A. (-3, -3)
• B. (-3, 3)
• C. (3, -3)
• D. (3, 3)

Answer 1

Answer: (B)

(-3, 3)

The slope-intercept form of a straight line is

$y=mx+c$

where $m$ is the slope and $c$ is the y-intercept.

$m$ is positive and $c$ is negative for the given line.

So, for every negative value of $x$, value of $y$ will be negative

.

Therefore, the point $(-3,3)$ cannot lie on the line.