Find an equation of the line passing through the point (-1,8) and parallel to the line joining the points (-3,4) (4,-1). i understand that parallel lines have the same slope. i am terrible at math so if anyone can write how to do this in steps it will be very much appreciated.

The equation of the line will be

Step-by-step explanation:

If a line passes through two points (x,y) and (x',y') then slope of the line will be =

Now we know the points are (-3,4) and (4,-1) then the slope of the line will be ==)

We know that two parallel lines have the same slope then a line which is passing through a point (-1,8)will be =( )

Let the equation of the line is y=mx+c

Then by putting the value of x,y and m we can get the value of c.

Then equation will be

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square