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Point
X is located at -19 . Points
Y and
Z are each 8 units away from Point
X. Where are
Y and
Z located?

Y=◻quadZ=◻

Point $\mathrm{X}$ is located at $-19$ . Points $\mathrm{Y}$ and $\mathrm{Z}$ are each $8$ units away from Point $\mathrm{X}$ . Where are $\mathrm{Y}$ and $\mathrm{Z}$ located? $\newline$ $\mathrm{Y}=\square \quad \mathrm{Z}=\square$

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Transformations of linear functions

Full solution

Q. Point

\mathrm{X}

is located at

-19

. Points

\mathrm{Y}

and

\mathrm{Z}

are each

8

units away from Point

\mathrm{X}

. Where are

\mathrm{Y}

and

\mathrm{Z}

located?

\newline

\mathrm{Y}=\square \quad \mathrm{Z}=\square

Identify Location and Distance: Identify the location of Point $X$ and the distance Points $Y$ and $Z$ are from Point $X$ . Point $X$ is located at $-19$ on the number line. Points $Y$ and $Z$ are each $8$ units away from Point $X$ . This means that Point $Y$ could be $8$ units to the left or to the right of Point $X$ , and the same applies to Point $Z$ .
Calculate Location of Point Y: Calculate the location of Point Y if it is $8$ units to the right of Point X. $\newline$ To find the location of Point Y, we add $8$ units to the location of Point X. $\newline$ $Y = -19 + 8$ $\newline$ $Y = -11$
Calculate Location of Point Z: Calculate the location of Point Z if it is $8$ units to the left of Point X. $\newline$ To find the location of Point Z, we subtract $8$ units from the location of Point X. $\newline$ $Z = -19 - 8$ $\newline$ $Z = -27$

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