Let's go through the graph to answer the questions.

1. y-intercept: This is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at $y = 2$.

2. Slope: To calculate the slope $m$, we use the formula: $m = \frac{{\Delta y}}{{\Delta x}}$ From the graph, two points on the line are $(0, 2)$ and $(5, 5)$. So: $m = \frac{{5 - 2}}{{5 - 0}} = \frac{3}{5}$ Therefore, the slope is $\frac{3}{5}$.

3. Equation of the line in slope-intercept form: The slope-intercept form of a line is: $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. With $m = \frac{3}{5}$ and $b = 2$, the equation becomes: $y = \frac{3}{5}x + 2$

So the answers are:

• y-intercept: $2$
• slope: $\frac{3}{5}$
• equation of the line: $y = \frac{3}{5}x + 2$

Would you like more details on any part of this?

Here are 5 related questions to deepen your understanding:

1. How do you find the y-intercept if the graph isn't provided but you're given the equation?
2. What happens to the slope if the line is steeper or flatter?
3. Can you explain what the slope of 0 means in the context of a graph?
4. How would you find the x-intercept of the line from the given equation?
5. How can you use the slope formula to check if three points are collinear?

Tip: When calculating slope from a graph, always double-check the rise and run between two distinct points on the line to avoid calculation mistakes.