Final answer:
Assuming the slope from the available options is -3, the equation of the line would be y = -3x + 2.
Step-by-step explanation:
The question involves finding the equation of a line parallel to another line that crosses the y-axis at a specific point on a coordinate plane. The first line Mallory creates has an unspecified slope that goes through the origin (0,0). We can represent this line's equation in slope-intercept form as y = mx, where m is the slope. Since Mallory wants her next line to be parallel to the first and to cross the y-axis at 2, the slope of the new line will be the same as the first line, and the y-intercept will be 2. Because we do not have the actual slope of the first line, we can assume it is m (since parallel lines have the same slope), and the equation for the new line will be y = mx + 2.
Based on the given options, we can only choose the correct equation if we assume the slope to be -3 because none of the given options contains a variable for the slope. The correct equation from the choices provided that has a slope of -3 and a y-intercept of 2 is y = -3x + 2.