Answer:
Step-by-step explanation:
Y = mx +b / Slope intercept form
mx - y = -b / Standard form
6m -2 = -b / Plug in ( 6,2)
-9m -10 = -b / Plug in ( -9, 10)
Solve the system of equation for m and b.
6m -2 = -9m -10 , then 15m = -8 m = -8/15
b = -6m +2 ,then b= -6 ( -8/ 15) +2 = 78/15
-8/15 X - y = - 78/15
8X +15y = 78 / Equation of in standard form
Note: This is a different methods of solving this problem. All methods find their roots coming from the basic premises.
Equation of a line in the slope intersect form is
Y = mx +b
To convert to standard form of ax + by =c
Simply move over the parameters
mx - y = -b where a = m , and c = -b
Then we feed coordinates of 2 points in there
make a 2 equation with 2 unknown( m,b) to
solve.
