Find the equation of the line passing through (3,-4) and (6,8) in the form y=mx + b

Question

Please help I don't understand

Answer 1

(3,-4), (6,8) are points of a line with slope = (8--4)/(6-3) = 12/3 = 4 = m

y=mx +b

y=4x +b, solve for b by plugging in either point

-4 =4(3) +b

b =-4-12 =-16

y=4x -16 is the equation in slope intercept form through the given points