Question

youre trying to write an equation that represents this line by finding the slope and vertical intercept. what does the slope of 4 mean in this situation? the slope is the rate of change, or the amount the volume increases by for every marble added. the volume started at 4 ml when there were no marbles in the cylinder. the volume increases 4 ml for every 1 marble added. the volume increases 1 ml for every 4 marbles added.

Explanation:

The slope of a line represents the rate of change between the y-variable (volume) and x-variable (number of marbles). A slope of 4 means for each 1-unit increase in x (1 marble added), y (volume) increases by 4 units (4 mL). The first statement refers to the y-intercept (starting volume at x=0), and the third statement reverses the rate relationship.

Answer:

The volume increases 4 mL for every 1 marble added.