Question

What is the equation of -1/2 that passes through the point (6,-6) Options are ..

1) y= 1/2x-3
2) y= -1/2x+3
3) y= -1/2x-3
4) y= -2x-3

Please explain why the answer is what it is.

Answer 1

formula of the line is
y = mx + c
we know y, m and x, find c

-6 =
`- (1)/(2)`(6) + c
-6 = -3 + c
-6 + 3 = -3 + 3 + c
-3 = c

y =
`- (1)/(2) x` - 3

Answer is the third one.