https://file.aiquickdraw.com/mathbot/file/1734556227551vnj8hh1s.jpg

The straight line shown on the coordinate grid can be analyzed as follows:

### 1. Identifying the Slope:
To calculate the slope \( m \) of the line, use the formula:  
\[
m = \frac{\text{Change in } y}{\text{Change in } x} = \frac{\Delta y}{\Delta x}.
\]  

From the graph, two clear points on the line are:  
- \( (-2, 0) \) (x-intercept)  
- \( (0, 4) \) (y-intercept).  

Using these two points:  
\[
m = \frac{4 - 0}{0 - (-2)} = \frac{4}{2} = 2.
\]  
Thus, the slope \( m \) is **2**.

---

### 2. Equation of the Line:
Using the **slope-intercept form** of a line:  
\[
y = mx + c,
\]  
where \( m \) is the slope and \( c \) is the y-intercept.

From the graph, the y-intercept \( c \) is **4**. Substituting \( m = 2 \) and \( c = 4 \):  
\[
y = 2x + 4.
\]  
This is the equation of the line.

---

### Key Observations:
- The line has a **positive slope** of \( 2 \), indicating it rises as \( x \) increases.  
- The y-intercept is at \( (0, 4) \), where the line crosses the y-axis.  
- The x-intercept is at \( (-2, 0) \), where the line crosses the x-axis.

---

Would you like a detailed explanation of any specific part? Here are 5 related questions to expand on this topic:

1. What is the general formula for a straight line in point-slope form?  
2. How do you calculate the slope if more points on the line are provided?  
3. Can we determine the slope if the line is horizontal or vertical?  
4. How do you graph a line if you are given only its slope and one point?  
5. How does the slope affect the angle of inclination of a line?  

**Tip:** To quickly determine the slope visually, count the "rise" (vertical change) and "run" (horizontal change) between two points on the line.

A straight line is shown on the coordinate grid below.

Learn how to find the equation of a straight line by identifying its slope and intercepts from a coordinate grid. This problem involves key concepts of slope, intercepts, and the slope-intercept form of a linear equation. Perfect for students in Grades 8-10.

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