Consider a straight line having the end points $(-3,6)$ and $(7,-7).$ For this given line segment, answer the following questions:

a$)$ Figure out the equation of the straight line for the given line segment and identify its slope$($m$)$ and intercept$($c$).$

b$)$ Calculate the original zone of the given straight line and convert the endpoints to zone $7.$

c$)$ Using the midpoint line drawing algorithm, compute the first $5$ pixels $($including starting pixel$)$ for the given line segment in their original zone. You must use $8$ way symmetry.