Final answer:
The student is asking about a high school mathematics concept involving the slope formula and slope-intercept form, which are fundamental tools for understanding functions and linear relationships in algebra.
Step-by-step explanation:
The question at hand pertains to a high school level mathematics quiz focused on pre-algebra concepts, specifically the unit covering functions and linear relationships. It includes topics like using the slope formula and understanding the slope-intercept form.
Understanding the Slope Formula
The slope formula is used to find the slope (m) of a straight line when given two points on the line, typically represented as (x1, y1) and (x2, y2). The formula is:
m = (y2 - y1) / (x2 - x1).
Slope-Intercept Form
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis, and the slope indicates the steepness of the line as well as the direction in which the line goes.
Example: For a line graph with a y-intercept of 9 and a slope of 3, the equation would be y = 3x + 9. This means for every increase of 1 on the x-axis, there's a rise of 3 on the y-axis.