1) for solve this exercise you must set the following equation to find the slope
m = y2-y1 /x2-x1 , ⇒ m = 1-(-7)/-1-1 ⇒m = 8/-2 -4
now with the equation of the line point slope, for this you have any of the two points given
y-y1 =m(x-x1) ⇒y-(-7) = -4(x-1)⇒y+7 = -4x+4⇒y = -4x+4-7⇒y = -4x-3