Answer:
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 :
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
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![y-3 = -\frac{1}{3} (x-3) \implies 3y - 9 = 3 -x](https://tex.z-dn.net/?f=y-3%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%20%28x-3%29%20%20%20%5Cimplies%203y%20-%209%20%3D%203%20-x)
Hence, the equation of line AB with points (3,3) and (-3,5) is given as:
x + 3y = 12