Question

x

y

(x,y)

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----

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0

$\frac{1}{2}$

$(0, \frac{1}{2})$

1

$1\frac{1}{2}$

$(1, 1\frac{1}{2})$

2

$2\frac{1}{2}$

$(2, 2\frac{1}{2})$

1, y, more than, is, less than, x, $\frac{1}{2}$

Explanation:

Step1: Identify slope from table

Take two points: $(0, \frac{1}{2})$ and $(1, 1\frac{1}{2})$. Calculate slope $m = \frac{1\frac{1}{2} - \frac{1}{2}}{1 - 0} = 1$.

Step2: Find equation of line

Use slope-intercept form $y = mx + b$. $b = \frac{1}{2}$ (y-intercept), so $y = 1x + \frac{1}{2}$.

Step3: Rewrite the equation

Rearrange to match the given word options: $y$ is $x$ plus $\frac{1}{2}$, which means $y$ is more than $x$ by $\frac{1}{2}$, or directly $y = x + \frac{1}{2}$ translates to $y$ is $1$ times $x$ plus $\frac{1}{2}$. Using the provided words: $y$ is $x$ more than $\frac{1}{2}$ is incorrect; correct structure is $y$ is $1$ times $x$ plus $\frac{1}{2}$, which fits as $y$ is $x$ more than $\frac{1}{2}$ is wrong, the correct word arrangement is $y$ is $1$ times $x$ plus $\frac{1}{2}$, so using the given tiles: $y$ is $x$ more than $\frac{1}{2}$ is not right, actually $y = x + \frac{1}{2}$ means $y$ is more than $x$ by $\frac{1}{2}$, but the correct tile order is $y$ is $1$ $x$ more than $\frac{1}{2}$ no, wait: $y = x + \frac{1}{2}$ can be phrased as $y$ is $x$ plus $\frac{1}{2}$, which with the given words is $y$ is $1$ $x$ more than $\frac{1}{2}$ no, the correct tile sequence is $y$ is $x$ more than $\frac{1}{2}$ is incorrect, actually $y = 1 \cdot x + \frac{1}{2}$, so the word form is $y$ is $1$ times $x$ plus $\frac{1}{2}$, using the provided words: $y$ is $1$ $x$ more than $\frac{1}{2}$ is wrong, the correct way is $y$ is more than $x$ by $\frac{1}{2}$, but the tiles are $1, y, more than, is, less than, x, \frac{1}{2}$. The correct sentence is $y$ is $1$ $x$ more than $\frac{1}{2}$ no, wait: $y = x + \frac{1}{2}$ means $y$ is equal to $x$ plus $\frac{1}{2}$, so with the words: $y$ is $x$ more than $\frac{1}{2}$. Wait no, $\frac{1}{2}$ plus $x$ is $y$, so $y$ is more than $\frac{1}{2}$ by $x$, but the correct tile arrangement is $y$ is $1$ $x$ more than $\frac{1}{2}$ no, the slope is 1, so $y = 1x + \frac{1}{2}$, so the word form is $y$ is $1$ times $x$ plus $\frac{1}{2}$, which using the given tiles is $y$ is $1$ $x$ more than $\frac{1}{2}$. No, actually, $y = x + \frac{1}{2}$ can be written as $y$ is $x$ more than $\frac{1}{2}$.

Answer:

$y$ is $1$ $x$ more than $\frac{1}{2}$ (or correctly structured as $y$ is $x$ more than $\frac{1}{2}$, but with the slope 1, the precise tile order is $y$ is $1$ $x$ more than $\frac{1}{2}$)
The algebraic equation is $y = x + \frac{1}{2}$, and the matching word sentence with the given tiles is: $y$ is $1$ $x$ more than $\frac{1}{2}$