When two points of a line are given, then the slope of this line can be calculated as;
slope= m= (y2-y1)/(x2-x1)
let, (x1,y1)=(3,-5) & (x2,y2)=(-4,-6)
so slope of the line is;
m= (-6-*-5)/(-4-3)
m=(-6+5)/(-7)
m=-1/-7
m=1/7
m=1/7 is the required slope.
slope= m= (y2-y1)/(x2-x1)
let, (x1,y1)=(3,-5) & (x2,y2)=(-4,-6)
so slope of the line is;
m= (-6-*-5)/(-4-3)
m=(-6+5)/(-7)
m=-1/-7
m=1/7
m=1/7 is the required slope.