Write the equation of the line.

The correct answer is: y =  x - 2

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers.  A linear function represents a line, i.e., its graph is a line. Here,

• 'm' is the slope of the line
• 'b' is the y-intercept of the line
• 'x' is the independent variable
• 'y' (or f(x)) is the dependent variable

The given points are (x1, y1) = (0, -2) and (x₂, y₂) = (3, -1).
Step 1: Find the slope of the function using the slope formula:
m = (y₂ - y1) / (x₂ - x1) = (-1 - (-2)) / (3 - 0) = 1/3 .
Step 2: Find the equation of linear function using the point slope form.
y - y1 = m (x - x1)
y - (-2) = 1/3 (x - 0)
y + 2 = 1/3 (x)
y  = 1/3(x) - 2

Therefore, the equation of the linear function is, y = 1/3(x) - 2.