? Exercise 2.2.1
Consider that the slope in Example 2 could also be written as . Using and starting at the
vertical intercept, find another point on the graph that has a negative value.

Ask by Love Smith. in the United States

Jan 26,2025

Question

? Exercise 2.2.1
Consider that the slope in Example 2 could also be written as . Using and starting at the
vertical intercept, find another point on the graph that has a negative value.

Ask by Love Smith. in the United States

Jan 26,2025

UpStudy AI · Accepted Answer

To solve this problem, we'll use the information provided about the slope and the vertical intercept.

### Given:
- **Slope**: $$ \frac{2}{-3} $$ (which is equivalent to $$ -\frac{2}{3} $$)
- **Vertical Intercept**: Let's assume it's at $$ (0, b) $$ (where $$ b $$ is the y-coordinate of the intercept).

### Steps to Find Another Point with Negative $$ x $$-Value:

1. **Understand the Slope**:
   - The slope $$ \frac{2}{-3} $$ indicates that for every 3 units you move horizontally to the left (since the run is negative), the vertical position increases by 2 units.

2. **Starting at the Vertical Intercept**:
   - Start at $$ (0, b) $$.

3. **Apply the Slope to Find the Next Point**:
   - **Horizontal Movement ($$ \Delta x $$)**: Move **-3** units (to the left).
   - **Vertical Movement ($$ \Delta y $$)**: Move **+2** units (upwards).

4. **Calculate the Coordinates of the Next Point**:
   - **New $$ x $$-coordinate**: $$ 0 + (-3) = -3 $$
   - **New $$ y $$-coordinate**: $$ b + 2 = b + 2 $$

5. **Resulting Point**:
   - $$ (-3, b + 2) $$

### Example with a Specific Vertical Intercept:
If, for instance, the vertical intercept is $$ (0, 1) $$, then:
- The next point would be $$ (-3, 1 + 2) = (-3, 3) $$.

### Final Answer:
Assuming the vertical intercept is $$ (0, 1) $$ (as an example), another point with a negative $$ x $$-value is:

$$
(x, y) = (-3,\ 3)
$$

However, without the specific value of the vertical intercept from Example 2, the general form of the answer is:

$$
(x, y) = (-3,\ b + 2)
$$

Where $$ b $$ is the y-coordinate of the vertical intercept.
Another point with a negative $$ x $$-value is $$ (-3, b + 2) $$, where $$ b $$ is the y-coordinate of the vertical intercept.

? Exercise 2.2.1
Consider that the slope in Example 2 could also be written as . Using and starting at the
vertical intercept, find another point on the graph that has a negative value.

Upstudy AI Solution

Answer

Solution

Given:

Steps to Find Another Point with Negative -Value:

Example with a Specific Vertical Intercept:

Final Answer:

Bonus Knowledge

Related Questions

Latest Algebra Questions

? Exercise 2.2.1 Consider that the slope in Example 2 could also be written as . Using and starting at the vertical intercept, find another point on the graph that has a negative value.

Upstudy AI Solution

Answer

Solution

Given:

Steps to Find Another Point with Negative -Value:

Example with a Specific Vertical Intercept:

Final Answer:

Bonus Knowledge

Related Questions

Latest Algebra Questions

? Exercise 2.2.1
Consider that the slope in Example 2 could also be written as . Using and starting at the
vertical intercept, find another point on the graph that has a negative value.