Let's re-evaluate the problem to find where the discrepancy lies.

Re-evaluation of the Points:

Let's correctly identify the two points on the line from the graph:

• Point 1: $(2, 2)$
• Point 2: $(6, 7)$

Slope Calculation:

Using the formula for slope $m$: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the points $(2, 2)$ and $(6, 7)$: $m = \frac{7 - 2}{6 - 2} = \frac{5}{4}$

Correct Answer:

The correct slope of the line is indeed $\frac{5}{4}$.

Would you like to explore how this slope affects the line equation or have any other questions?

Related Questions:

1. How do you graph a line with a slope of $\frac{5}{4}$?
2. What does the slope $\frac{5}{4}$ indicate about the steepness of the line?
3. How would the line look if the slope was $-\frac{5}{4}$?
4. What is the y-intercept of the line passing through $(2, 2)$ with a slope of $\frac{5}{4}$?
5. How can you find the equation of the line in point-slope form?

Tip:

When identifying points on a graph, be sure to double-check the coordinates to avoid errors in slope calculations!