Write the standard form of the equation of the line that passes through the given points. Include your work in your final answer. (5, 3) and (8, -2)

The equation in standard form is:  3x+5y = 30

Step-by-step explanation:

Given two point:  (x,y) = (5,3)

                             (x,y) = (8,-2)

Now, to find the slope of the line:

Slope =  --->  

Then, the equation of the line passing through a point:

 =>   y-y1 = m(x-x1)

 =>   y-3 = (x-5)

 =>  5(y-3) = -3(x-5)

 =>  5y-15 = -3x+15

 =>  3x+5y = 30