Question

40 POINTS, please help

Answer 1

First, we must understand what standard form of a line is. Standard form of a line is written like  such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates. 

 

As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator.    

 

The next step is to utilize point-slope form, which is  where  is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step. 

 

Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.This is standard form now, so we are done!