Which description best describes the solution to the following system of equations?

y = –2x + 8

y = –x + 5

line y = –2x + 8 intersects the origin.
lines y = –2x + 8 and y = –x + 5 intersect the x-axis.
lines y = –2x + 8 and y = –x + 5 intersect the y-axis.
line y = –2x + 8 intersects the line y = –x + 5.

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth