Question

Find the number of integer values of y-coordinate as solutions of the equation $y=\frac{1}{2}x+5$ between $x=-1$ and $x=3.$

• A. One.
• B. Two.
• C. Three.
• D. Infinitely many.

Answer 1

The correct option is B Two.

Let's find the $y$ values corresponding to $x=-1$ and $x=3$ for $y=\frac{1}{2}x+5.$

Substituting $x=-1,$
$y=\frac{1}{2}(-1)+5$
$\Rightarrow y=4.5$

Substituting $x=3,$
$y=\frac{1}{2}\left(3\right)+5$
$\Rightarrow y=6.5$

The integers between $4.5$ and $6.5$ are $5$ and $6.$

$\therefore$ There are two solutions with $y-$coordinates as integer values.