https://file.aiquickdraw.com/mathbot/file/1729266996602a022uoh3.jpg

https://file.aiquickdraw.com/mathbot/file/1729266996603pwrbxbb7.jpg

Let's go through each question in the images:

### **Question 1 (Image 1: Function Equation for the Graph)**

The blue line on the graph passes through the point \((0, 2)\), meaning the y-intercept is 2. The slope can be determined by picking two points along the line. From the graph, the line seems to go through \((0, 2)\) and \((2, 4)\), which gives a slope (rise over run) of:
\[
\text{slope} = \frac{4 - 2}{2 - 0} = \frac{2}{2} = 1
\]
Thus, the equation of the line is:
\[
y = 1x + 2 \quad \text{or simply} \quad y = x + 2
\]
So, the correct choice is: **f(x) = x + 2 or y = x + 2**.

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### **Question 2 (Image 2: Scale of the y-axis)**

The graph provided in this image shows that at \(x = 2\), the corresponding \(y\)-value is approximately 15. The y-axis seems to be scaled so that each grid line counts by 1.5 units (since from 0 to 15, there are 10 grid lines, each counting 1.5).

Thus, the correct answer is: **1.5**.

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Let me know if you'd like further details or clarifications on these problems! 

Here are five related questions for practice:

1. What is the slope of a line passing through points \((1, 3)\) and \((4, 7)\)?
2. How do you determine the slope of a line given its equation in standard form?
3. If a line has a slope of \(-2\) and a y-intercept of \(3\), what is the equation of the line?
4. What does the slope of a line tell you about the direction of the line on a graph?
5. How can you find the equation of a line given a point on the line and its slope?

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

Which function equation represents the graph shown? What is the scale of the y-axis in the graph below?

Learn how to identify the function equation of a line graph and determine the scale of the y-axis in the given graph. The solution involves calculating slopes and understanding linear equations in slope-intercept form. This problem is suitable for students in Grades 7-9.

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