Question

Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)

Answer 1

The point slope form or the equation of a line is :

y - y1 = m(x - x1)


First find the slope between the two coordinates:

m = y2-y1/x2-x1

m = 0-4 / 2-(-6)

m = -4 / 8

m = - 1/2

Now create the point slope form / equation of a line:

y - 4 = - 1/2(x - (-6))

y - 4 = - 1/2(x + 6)

OR you can have

y - 0 = - 1/2(x - 2)

Answer 2

M= (y + y ) m= (x + x )
2 1 2 1
------------ -------------
2 2


m=( 0+4) m= (2+(-6)
*2 -------*2 *2 --------- *2
2 2

2m=4. 2m= -4
---------- ---------
2 2

m= 2 m= -2
(y). (x)
(x,2). (-2,y)

(-2,2)