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Unit 6 Alodute ? |
teation 2
Maner
IDATE
Plotting Points on a Graph page 1 of 2
1 Plot and label these points on the coordinate plane below. The first one has been done as an example.

(1,3)

(2,6)

(3,9)

(4,12)

(5,15)
2 Amanda plotted 5 points on the coordinate plane to the right. What ordered pairs did Amanda plot?
Amanda's ordered pairs:
(1,2)(

longrightarrow

1+4)(
3 What is the next ordered pair if Amanda's pattern continues? (
(continued on next page)
111

Unit $6$ Alodute ? | $\newline$ teation $2$ $\newline$ Maner $\newline$ IDATE $\newline$ Plotting Points on a Graph page $1$ of $2$ $\newline$ $1$ Plot and label these points on the coordinate plane below. The first one has been done as an example. $\newline$ $(1,3)$ $\newline$ $(2,6)$ $\newline$ $(3,9)$ $\newline$ $(4,12)$ $\newline$ $(5,15)$ $\newline$ $2$ Amanda plotted $5$ points on the coordinate plane to the right. What ordered pairs did Amanda plot? $\newline$ Amanda's ordered pairs: $(1,2)($ $\newline$ $\longrightarrow$ $\newline$ $1+4)($ $\newline$ $3$ What is the next ordered pair if Amanda's pattern continues? ( $\newline$ (continued on next page) $\newline$ $111$

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Solve quadratic equations: word problems

Full solution

Q. Unit

6

Alodute ? |

\newline

teation

2

\newline

Maner

\newline

IDATE

\newline

Plotting Points on a Graph page

1

of

2

\newline

1

Plot and label these points on the coordinate plane below. The first one has been done as an example.

\newline

(1,3)

\newline

(2,6)

\newline

(3,9)

\newline

(4,12)

\newline

(5,15)

\newline

2

Amanda plotted

5

points on the coordinate plane to the right. What ordered pairs did Amanda plot?

\newline

Amanda's ordered pairs:

(1,2)(

\newline

\longrightarrow

\newline

1+4)(

\newline

3

What is the next ordered pair if Amanda's pattern continues? (

\newline

(continued on next page)

\newline

111

Plot Points on Coordinate Plane: Plot and label the given points on the coordinate plane. $\newline$ The points given are $(1,3)$ , $(2,6)$ , $(3,9)$ , $(4,12)$ , and $(5,15)$ . These points form a straight line on the graph, indicating a linear relationship between the $x$ and $y$ coordinates.
Identify Pattern in Points: Identify the pattern in Amanda's plotted points. $\newline$ The first point Amanda plotted is $(1,2)$ . To find the pattern, we need to look at the difference between the $x$ and $y$ coordinates of the given points.
Pattern in X-Coordinates: Determine the pattern in the x-coordinates. $\newline$ The x-coordinates increase by $1$ each time: $1, 2, 3$ , etc.
Pattern in Y-Coordinates: Determine the pattern in the y-coordinates. $\newline$ The y-coordinate of the first point is $2$ . The problem statement suggests that Amanda adds $4$ to the y-coordinate each time. So the next y-coordinate would be $2 + 4 = 6$ .
Write Next Ordered Pairs: Write down the next few ordered pairs following the pattern. $\newline$ Starting with $(1,2)$ , the next point would be $(1+1, 2+4)$ which is $(2,6)$ . Continuing this pattern, we get $(3,10)$ , $(4,14)$ , and so on.

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