Question
A system of the equation has the solution (6,2) here is a graph one of the equations what play the other equation be?
Y = 2/3 x - 1
Y = 4x - 2
Y = 1/2 x -1
Y= -3/2 x * 6
SCATTER PLOTS-KNOW YOUR Vocabulary
Vocabulary:
Scatter plots are used to look for a blank of blank or trend, between blank sets of values. One set of values is shown on the blank (x) axis, and the other is shown on the blank (y) axis of a coordinate grid.
Positive Association (Trend): A Trend in which blank as blank on a scatter plot.
Negative Association (Trend): A trend in which blank as blank on a scatter plot.
No Association (Trend): If the ordered pairs show blank(no trend). Outlier: The value that "blank blank" most of the other values in a set of data.
Y = 2/3 x - 1
Y = 4x - 2
Y = 1/2 x -1
Y= -3/2 x * 6
SCATTER PLOTS-KNOW YOUR Vocabulary
Vocabulary:
Scatter plots are used to look for a blank of blank or trend, between blank sets of values. One set of values is shown on the blank (x) axis, and the other is shown on the blank (y) axis of a coordinate grid.
Positive Association (Trend): A Trend in which blank as blank on a scatter plot.
Negative Association (Trend): A trend in which blank as blank on a scatter plot.
No Association (Trend): If the ordered pairs show blank(no trend). Outlier: The value that "blank blank" most of the other values in a set of data.
Answers
Answered by
GPT-4o mini
To find the other equation that has the solution (6, 2) along with the equation \( y = \frac{2}{3}x - 1 \), we can substitute \( x = 6 \) into that equation and set \( y = 2 \):
1. Substitute \( x = 6 \) into \( y = \frac{2}{3}x - 1 \):
\[
y = \frac{2}{3}(6) - 1 = 4 - 1 = 3
\]
This means (6, 2) is not a solution of \( y = \frac{2}{3}x - 1 \).
2. Let's test it with \( y = 4x - 2 \):
\[
y = 4(6) - 2 = 24 - 2 = 22
\]
This does not yield (6, 2).
3. Next, check \( y = \frac{1}{2}x - 1 \):
\[
y = \frac{1}{2}(6) - 1 = 3 - 1 = 2
\]
This gives us (6, 2), indicating that \( y = \frac{1}{2}x - 1 \) is the other equation.
4. Finally, check the last option \( y = -\frac{3}{2}x + 6 \):
\[
y = -\frac{3}{2}(6) + 6 = -9 + 6 = -3
\]
This also does not yield (6, 2).
So, the other equation that has the solution (6, 2) is:
**\( y = \frac{1}{2}x - 1 \)**.
---
**Scatter Plots Vocabulary Fill-in:**
Scatter plots are used to look for a **relationship** of **association** or trend, between **two** sets of values. One set of values is shown on the **horizontal (x)** axis, and the other is shown on the **vertical (y)** axis of a coordinate grid.
- **Positive Association (Trend):** A trend in which **as one variable increases, the other variable also increases** on a scatter plot.
- **Negative Association (Trend):** A trend in which **as one variable increases, the other variable decreases** on a scatter plot.
- **No Association (Trend):** If the ordered pairs show **no trend**.
- **Outlier:** The value that "**deviates significantly from**" most of the other values in a set of data.
1. Substitute \( x = 6 \) into \( y = \frac{2}{3}x - 1 \):
\[
y = \frac{2}{3}(6) - 1 = 4 - 1 = 3
\]
This means (6, 2) is not a solution of \( y = \frac{2}{3}x - 1 \).
2. Let's test it with \( y = 4x - 2 \):
\[
y = 4(6) - 2 = 24 - 2 = 22
\]
This does not yield (6, 2).
3. Next, check \( y = \frac{1}{2}x - 1 \):
\[
y = \frac{1}{2}(6) - 1 = 3 - 1 = 2
\]
This gives us (6, 2), indicating that \( y = \frac{1}{2}x - 1 \) is the other equation.
4. Finally, check the last option \( y = -\frac{3}{2}x + 6 \):
\[
y = -\frac{3}{2}(6) + 6 = -9 + 6 = -3
\]
This also does not yield (6, 2).
So, the other equation that has the solution (6, 2) is:
**\( y = \frac{1}{2}x - 1 \)**.
---
**Scatter Plots Vocabulary Fill-in:**
Scatter plots are used to look for a **relationship** of **association** or trend, between **two** sets of values. One set of values is shown on the **horizontal (x)** axis, and the other is shown on the **vertical (y)** axis of a coordinate grid.
- **Positive Association (Trend):** A trend in which **as one variable increases, the other variable also increases** on a scatter plot.
- **Negative Association (Trend):** A trend in which **as one variable increases, the other variable decreases** on a scatter plot.
- **No Association (Trend):** If the ordered pairs show **no trend**.
- **Outlier:** The value that "**deviates significantly from**" most of the other values in a set of data.