Question 170365
you need to find the slope which is change in y over the change in x or rise/run

slope for points (-1,-6) and (4,8) is (8-(-6))/(4-(-1))=14/5

now standard equation for point slope is y-k=m(x-h) where m is the slope and (h,k) is any point on the line.
I will be using point (4,8)
:
y-8=(14/5)(x-4)
:
y-8=14/5(x)-56/5--->multiply all terms by 5
:
5y-40=14x-56--->write in standard form
:
{{{14x-5y=16}}} is the equation with points (-1,-6) and (4,8)

y=mx+b format would be y=(14/5)x-16/5