https://file.aiquickdraw.com/mathbot/file/1726409937788wkcn8dam.jpg

Let's analyze the image to find the equation of the straight line.

From the graph, we can identify two key aspects of the straight line:

1. **Slope**: The slope (m) of the line is the ratio of the change in \( R \) to the change in \( s \). Looking at the graph, we see that as \( s \) increases by 6 (from 0 to 6), \( R \) decreases by 9 (from 6 to -3). Thus, the slope is:
   \[
   m = \frac{\Delta R}{\Delta s} = \frac{-9}{6} = -\frac{3}{2}
   \]

2. **Intercept**: The intercept (where the line crosses the \( R \)-axis) is at \( R = 6 \), which gives us the y-intercept (c).

So, the equation of the line is:
\[
R = -\frac{3}{2}s + 6
\]

Looking at the answer choices in the image, the correct answer is:
\[
R = -\frac{3}{2}s + 6
\]

### Do you have any questions, or would you like more details on this?

Here are some related questions for further exploration:
1. How do you calculate the slope of a line from a graph?
2. What is the significance of the y-intercept in a linear equation?
3. Can the slope of a line ever be positive? What would that look like on a graph?
4. How do you rewrite the equation of a line if you are given different points?
5. What is the general form of a linear equation in two variables?

**Tip**: To easily find the slope of a line, pick two clear points on the graph, and use the formula \(\frac{\text{change in y}}{\text{change in x}}\).

What is the equation of the straight line shown on the graph?

Discover how to find the equation of a straight line based on the graph provided. The problem involves key algebraic concepts such as slope and y-intercept and demonstrates how to apply the slope-intercept form. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation