Write an equation in standard form of the line passing through the points (3,3) and (-3,5)

The equation of line AB  with points (3,3) and (-3,5) is given as

: x + 3y = 12

Step-by-step explanation:

Here, the given points are A (3, 3) and B (-3,5).

Now, slope of any line is given as :

or,

Hence, the slope of the line AB is (-1/3)

Now , A POINT SLOPE FORM of an equation is

(y - y0)  = m (x - x0) ; (x0, y0)  is any arbitrary point on line.

So, for the point (3,3) the equation of the line is

y - 3

Hence, the equation of line AB  with points (3,3) and (-3,5) is given as:

x + 3y = 12