Algebra-2

Question Analysis
This question involves determining the equation of a line in slope-intercept form using information from its graph, specifically the y-intercept and another point on the line.
The main focus is on calculating the slope using two points and then combining it with the y-intercept to form the equation.

Key Concept Explanation
The slope-intercept form of a line is , where is the slope and is the y-intercept. The y-intercept is the y-coordinate of the point where the line crosses the y-axis. The slope between two points and is calculated using the formula .

Step-by-Step Solution
Identify the y-intercept from the graph: The line crosses the y-axis at (0, -3), so .
Use the two points (0, -3) and (2, 1) to calculate the slope. Here,