Final answer:
The question discusses the characteristics of a linear function, including its y-intercept, a point on the line, and its slope. Using this information, we can write the equation of the line as y = 3x + 6, with both domain and range being all real numbers.
Step-by-step explanation:
The student's question pertains to the equation of a linear function, given certain characteristics of the line. From the details provided, we can determine that the function has a y-intercept of (0, 6), a given point on the line at (-1, 3), and a slope of m = 3.
The domain and range are both all real numbers, represented by (-inf, inf), where 'inf' stands for infinity. The equation of a linear function is generally given by y = mx + b, where m is the slope and b is the y-intercept. Here, we can plug in the slope (m = 3) and the y-intercept (0, 6), to get the equation y = 3x + 6.
This equation aligns with the given characteristics and defines a line that extends indefinitely in both directions on the Cartesian plane.