The image shows a question that asks to find the equation of a line through two points, $(2, 1)$ and $(3, 4)$, in slope-intercept form.

Let's go step by step to solve it:

1. Find the slope of the line using the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ where $(x_1, y_1) = (2, 1)$ and $(x_2, y_2) = (3, 4)$.

2. Substitute the values into the formula: $m = \frac{4 - 1}{3 - 2} = \frac{3}{1} = 3$ So, the slope $m = 3$.

3. Use the point-slope form of the equation of a line: $y - y_1 = m(x - x_1)$ Using point $(2, 1)$, the equation becomes: $y - 1 = 3(x - 2)$

4. Simplify the equation: $y - 1 = 3x - 6$ Add 1 to both sides: $y = 3x - 5$

Thus, the equation of the line is: $y = 3x - 5$

Would you like any further details or clarifications?

Here are 5 related questions for practice:

1. How do you find the equation of a line given a point and the slope?
2. What is the point-slope form of a line, and when is it used?
3. Can a line have the same slope but pass through different points? What does that represent geometrically?
4. How do you convert point-slope form to slope-intercept form?
5. How can you determine the x- and y-intercepts of the line $y = 3x - 5$?

Tip: Always check your calculations, especially when determining the slope, to avoid simple mistakes in line equations.