Solved on Jan 19, 2024

Drag the points on the line to show the ordered pairs that satisfy $y = -3x + 2$ .

STEP 1

Assumptions
1. The function is linear and is defined by the equation $y = -3x + 2$ .
2. The points we are looking for must lie on the line represented by the equation.
3. Ordered pairs are in the form of $(x, y)$ .

STEP 2

Understand the equation of the line. The equation $y = -3x + 2$ is in slope-intercept form, where the slope is $-3$ and the y-intercept is $2$ .

STEP 3

To find ordered pairs that satisfy the equation, we can select arbitrary values for $x$ and calculate the corresponding $y$ values using the equation.

STEP 4

Choose a value for $x$ . Let's start with $x = 0$ .

STEP 5

Substitute $x = 0$ into the equation to find the corresponding $y$ value.
$y = -3(0) + 2$

STEP 6

Calculate the $y$ value when $x = 0$ .
$y = 0 + 2 = 2$

STEP 7

The ordered pair when $x = 0$ is $(0, 2)$ .

STEP 8

Choose another value for $x$ . Let's use $x = 1$ .

STEP 9

Substitute $x = 1$ into the equation to find the corresponding $y$ value.
$y = -3(1) + 2$

STEP 10

Calculate the $y$ value when $x = 1$ .
$y = -3 + 2 = -1$

STEP 11

The ordered pair when $x = 1$ is $(1, -1)$ .

STEP 12

We have found two ordered pairs that satisfy the equation: $(0, 2)$ and $(1, -1)$ . These pairs can be plotted on the line to show points that satisfy the equation $y = -3x + 2$ .
The two points to drag on the line are $(0, 2)$ and $(1, -1)$ .

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Drag the points on the line to show the ordered pairs that satisfy $y = -3x + 2$ .

STEP 1

Assumptions
1. The function is linear and is defined by the equation $y = -3x + 2$ .
2. The points we are looking for must lie on the line represented by the equation.
3. Ordered pairs are in the form of $(x, y)$ .

STEP 2

Understand the equation of the line. The equation $y = -3x + 2$ is in slope-intercept form, where the slope is $-3$ and the y-intercept is $2$ .

STEP 3

To find ordered pairs that satisfy the equation, we can select arbitrary values for $x$ and calculate the corresponding $y$ values using the equation.

STEP 4

Choose a value for $x$ . Let's start with $x = 0$ .

STEP 5

Substitute $x = 0$ into the equation to find the corresponding $y$ value.
$y = -3(0) + 2$

STEP 6

Calculate the $y$ value when $x = 0$ .
$y = 0 + 2 = 2$

STEP 7

The ordered pair when $x = 0$ is $(0, 2)$ .

STEP 8

Choose another value for $x$ . Let's use $x = 1$ .

STEP 9

Substitute $x = 1$ into the equation to find the corresponding $y$ value.
$y = -3(1) + 2$

STEP 10

Calculate the $y$ value when $x = 1$ .
$y = -3 + 2 = -1$

STEP 11

The ordered pair when $x = 1$ is $(1, -1)$ .

STEP 12

We have found two ordered pairs that satisfy the equation: $(0, 2)$ and $(1, -1)$ . These pairs can be plotted on the line to show points that satisfy the equation $y = -3x + 2$ .
The two points to drag on the line are $(0, 2)$ and $(1, -1)$ .

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Drag the points on the line to show the ordered pairs that satisfy y=−3x+2y = -3x + 2y=−3x+2.

STEP 1

Assumptions1. The function is linear and is defined by the equation y=−3x+2y = -3x + 2y=−3x+2.2. The points we are looking for must lie on the line represented by the equation.3. Ordered pairs are in the form of (x,y)(x, y)(x,y).

STEP 2

Understand the equation of the line. The equation y=−3x+2y = -3x + 2y=−3x+2 is in slope-intercept form, where the slope is −3-3−3 and the y-intercept is 222.

STEP 3

To find ordered pairs that satisfy the equation, we can select arbitrary values for xxx and calculate the corresponding yyy values using the equation.

STEP 4

Choose a value for xxx. Let's start with x=0x = 0x=0.

STEP 5

Substitute x=0x = 0x=0 into the equation to find the corresponding yyy value.y=−3(0)+2y = -3(0) + 2y=−3(0)+2

STEP 6

Calculate the yyy value when x=0x = 0x=0.y=0+2=2y = 0 + 2 = 2y=0+2=2

STEP 7

The ordered pair when x=0x = 0x=0 is (0,2)(0, 2)(0,2).

STEP 8

Choose another value for xxx. Let's use x=1x = 1x=1.

STEP 9

Substitute x=1x = 1x=1 into the equation to find the corresponding yyy value.y=−3(1)+2y = -3(1) + 2y=−3(1)+2

STEP 10

Calculate the yyy value when x=1x = 1x=1.y=−3+2=−1y = -3 + 2 = -1y=−3+2=−1

STEP 11

The ordered pair when x=1x = 1x=1 is (1,−1)(1, -1)(1,−1).

STEP 12

We have found two ordered pairs that satisfy the equation: (0,2)(0, 2)(0,2) and (1,−1)(1, -1)(1,−1). These pairs can be plotted on the line to show points that satisfy the equation y=−3x+2y = -3x + 2y=−3x+2.The two points to drag on the line are (0,2)(0, 2)(0,2) and (1,−1)(1, -1)(1,−1).

Start learning now

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

Drag the points on the line to show the ordered pairs that satisfy $y = -3x + 2$ .

Assumptions
1. The function is linear and is defined by the equation $y = -3x + 2$ .
2. The points we are looking for must lie on the line represented by the equation.
3. Ordered pairs are in the form of $(x, y)$ .

Understand the equation of the line. The equation $y = -3x + 2$ is in slope-intercept form, where the slope is $-3$ and the y-intercept is $2$ .

To find ordered pairs that satisfy the equation, we can select arbitrary values for $x$ and calculate the corresponding $y$ values using the equation.

Choose a value for $x$ . Let's start with $x = 0$ .

Substitute $x = 0$ into the equation to find the corresponding $y$ value.
$y = -3(0) + 2$

Calculate the $y$ value when $x = 0$ .
$y = 0 + 2 = 2$

The ordered pair when $x = 0$ is $(0, 2)$ .

Choose another value for $x$ . Let's use $x = 1$ .

Substitute $x = 1$ into the equation to find the corresponding $y$ value.
$y = -3(1) + 2$

Calculate the $y$ value when $x = 1$ .
$y = -3 + 2 = -1$

The ordered pair when $x = 1$ is $(1, -1)$ .

We have found two ordered pairs that satisfy the equation: $(0, 2)$ and $(1, -1)$ . These pairs can be plotted on the line to show points that satisfy the equation $y = -3x + 2$ .
The two points to drag on the line are $(0, 2)$ and $(1, -1)$ .