Question

What are the values of $x$-intercept and $y$-intercept respectively for the line: $y=-\frac{x}{2}-1$ ?

• A. $x$-intercept $=-1$, $y$-intercept $=-2$
• B. $x$-intercept $=-2$, $y$-intercept $=-1$
• C. $x$-intercept $=\frac{-1}{2}$, $y$-intercept $=-1$
• D. $y$-intercept $=\frac{-1}{2}$, $x$-intercept $=-1$

Answer 1

The correct option is B $x$-intercept $=-2$, $y$-intercept $=-1$

Given :$y=-\frac{x}{2}-1$

Step 1: To get $x$-intercept, put $y=0$
$0=-\frac{x}{2}-1$

$1=-\frac{x}{2}$

$x=-2$
Hence, value of $x$-intercept is -2.

Step 2: To get $y$-intercept, put $x=0$
$y=-\frac{0}{2}-1=-0-1\Rightarrow y=-1$
Hence, value of $y$-intercept is -1.
Option (b) is correct.