Math / Algebra

Question屯 Importea coodle champion is... Harvard Social Stud... My Drive - Google Dr. Play Unblocked Ga_- BitPlanes ; A. An Fun 3 Library - EatremeMa
Graph these equations: $\begin{array}{l} y=2 x \\ y=2 x \end{array}$
Click to select points on the graph. $y=2 x \quad y=2 x$

Studdy Solution

STEP 1

What is this asking? We're asked to graph the equation $y = 2x$ .
It looks like the problem statement repeated it a couple of times, so we'll just graph it once! Watch out! Make sure to pick easy values for $x$ to calculate the corresponding $y$ values.
This will make plotting the points much smoother.

STEP 2

1. Create a table of values.
2. Plot the points.
3. Draw the line.

STEP 3

Let's pick some easy values for $x$ .
I'm thinking $x = -1$ , $x = 0$ , and $x = 1$ .
These are small and easy to work with!

STEP 4

* When $x = -1$ , we have $y = 2 \cdot (-1) = -2$ . * When $x = 0$ , we have $y = 2 \cdot 0 = 0$ . * When $x = 1$ , we have $y = 2 \cdot 1 = 2$ .

STEP 5

| $x$ | $y$ | |---|---| | $-1$ | $-2$ | | $0$ | $0$ | | $1$ | $2$ |

STEP 6

Our first point is $(-1, -2)$ .
Remember, the $x$ value tells us how far to go left or right, and the $y$ value tells us how far to go up or down.
So, we go left 1 unit and down 2 units, and BAM, there's our point!

STEP 7

The next point is $(0, 0)$ .
This is the origin, right in the center of the graph!

STEP 8

Our last point is $(1, 2)$ .
We go right 1 unit and up 2 units.
Awesome!

STEP 9

Now, take your ruler (or a straight edge) and carefully draw a line through all three points.
Extend the line beyond the points in both directions, because the line goes on forever!
Add some arrows at the ends of the line to show that it continues infinitely.

STEP 10

The graph of the equation $y = 2x$ is a straight line passing through the points $(-1, -2)$ , $(0, 0)$ , and $(1, 2)$ , extending infinitely in both directions.

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Question屯 Importea coodle champion is... Harvard Social Stud... My Drive - Google Dr. Play Unblocked Ga_- BitPlanes ; A. An Fun 3 Library - EatremeMa
Graph these equations: $\begin{array}{l} y=2 x \\ y=2 x \end{array}$
Click to select points on the graph. $y=2 x \quad y=2 x$

Studdy Solution

STEP 1

STEP 2

1. Create a table of values.
2. Plot the points.
3. Draw the line.

STEP 3

Let's pick some easy values for $x$ .
I'm thinking $x = -1$ , $x = 0$ , and $x = 1$ .
These are small and easy to work with!

STEP 4

* When $x = -1$ , we have $y = 2 \cdot (-1) = -2$ . * When $x = 0$ , we have $y = 2 \cdot 0 = 0$ . * When $x = 1$ , we have $y = 2 \cdot 1 = 2$ .

STEP 5

| $x$ | $y$ | |---|---| | $-1$ | $-2$ | | $0$ | $0$ | | $1$ | $2$ |

STEP 6

Our first point is $(-1, -2)$ .
Remember, the $x$ value tells us how far to go left or right, and the $y$ value tells us how far to go up or down.
So, we go left 1 unit and down 2 units, and BAM, there's our point!

STEP 7

The next point is $(0, 0)$ .
This is the origin, right in the center of the graph!

STEP 8

Our last point is $(1, 2)$ .
We go right 1 unit and up 2 units.
Awesome!

STEP 9

Now, take your ruler (or a straight edge) and carefully draw a line through all three points.
Extend the line beyond the points in both directions, because the line goes on forever!
Add some arrows at the ends of the line to show that it continues infinitely.

STEP 10

The graph of the equation $y = 2x$ is a straight line passing through the points $(-1, -2)$ , $(0, 0)$ , and $(1, 2)$ , extending infinitely in both directions.

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Studdy Solution

STEP 1

STEP 2

1. Create a table of values.2. Plot the points.3. Draw the line.

STEP 3

Let's pick some easy values for xxx.I'm thinking x=−1x = -1x=−1, x=0x = 0x=0, and x=1x = 1x=1.These are small and easy to work with!

STEP 4

* When x=−1x = -1x=−1, we have y=2⋅(−1)=−2y = 2 \cdot (-1) = -2y=2⋅(−1)=−2. * When x=0x = 0x=0, we have y=2⋅0=0y = 2 \cdot 0 = 0y=2⋅0=0. * When x=1x = 1x=1, we have y=2⋅1=2y = 2 \cdot 1 = 2y=2⋅1=2.

STEP 5

| xxx | yyy | |---|---| | −1-1−1 | −2-2−2 | | 000 | 000 | | 111 | 222 |

STEP 6

Our first point is (−1,−2)(-1, -2)(−1,−2).Remember, the xxx value tells us how far to go left or right, and the yyy value tells us how far to go up or down.So, we go **left** 1 unit and **down** 2 units, and **BAM**, there's our point!

STEP 7

The next point is (0,0)(0, 0)(0,0).This is the **origin**, right in the center of the graph!

STEP 8

Our last point is (1,2)(1, 2)(1,2).We go **right** 1 unit and **up** 2 units.Awesome!

STEP 9

Now, take your ruler (or a straight edge) and carefully draw a line through all three points.Extend the line beyond the points in both directions, because the line goes on forever!Add some arrows at the ends of the line to show that it continues infinitely.

STEP 10

The graph of the equation y=2xy = 2xy=2x is a straight line passing through the points (−1,−2)(-1, -2)(−1,−2), (0,0)(0, 0)(0,0), and (1,2)(1, 2)(1,2), extending infinitely in both directions.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Create a table of values.
2. Plot the points.
3. Draw the line.

Let's pick some easy values for $x$ .
I'm thinking $x = -1$ , $x = 0$ , and $x = 1$ .
These are small and easy to work with!

* When $x = -1$ , we have $y = 2 \cdot (-1) = -2$ . * When $x = 0$ , we have $y = 2 \cdot 0 = 0$ . * When $x = 1$ , we have $y = 2 \cdot 1 = 2$ .

| $x$ | $y$ | |---|---| | $-1$ | $-2$ | | $0$ | $0$ | | $1$ | $2$ |

Our first point is $(-1, -2)$ .
Remember, the $x$ value tells us how far to go left or right, and the $y$ value tells us how far to go up or down.
So, we go left 1 unit and down 2 units, and BAM, there's our point!

The next point is $(0, 0)$ .
This is the origin, right in the center of the graph!

Our last point is $(1, 2)$ .
We go right 1 unit and up 2 units.
Awesome!

Now, take your ruler (or a straight edge) and carefully draw a line through all three points.
Extend the line beyond the points in both directions, because the line goes on forever!
Add some arrows at the ends of the line to show that it continues infinitely.

The graph of the equation $y = 2x$ is a straight line passing through the points $(-1, -2)$ , $(0, 0)$ , and $(1, 2)$ , extending infinitely in both directions.