(0,4) and (5,3) in standard form

Question

Write the standard form of the equation of the line through the given points

Answer 1

This is SOOOO BASIC!

 

You will solve it, as follows:

1)  calculate slope from the given two points.

2)  using one of those points (I suggest (0,4)), substitute appropriately into the Point slope form (you must know this)

2)  simplify in such a way that the x and y terms appear on one side of the equation and any constant-only appears on the right side of the equation...that's Standard form.

 

Just  DO IT!

Answer 2

Hy Ben,

 

First find the slope of the line between the two points.

 

 

m = ( 3 - 4) / ( 5 - 0 ) 

 

 

= -1 / 5

 

y - 4 = -1 (x -0 ) / 5

 

y - 4 = -x / 5

 

Now multiply the entire equation by 5.

 

5y - 20 = -x

 

 

x + 5y = 20

 

Finally we have the solution in the form Ax + By = C.

 

 

 

Good luck with the rest of your problems.