Answer:
The value of slope m = -1
Step-by-step explanation:
x = -2 + 4t
and y = 1 + 4t
Solving the both equations
x +2 = 4t
=> t = (x+2)/4 eq(1)
y-1 = 4t
=> t = (y-1)/4 eq(2)
Putting eq(1) = eq(2) as left hand side of both equations are same
(x+2)/4 = (y-1)/4
Cross multiplying
4(x+2) = 4(y-1)
4x + 8 = 4y -4
4x +4y = -4 -8
4x + 4y = -12
4(x+y) = -12
x+y = -12/4
x+y = -3
y = -x -3
The slope intercept form of line is:
y = mx + b
where m is the slope. Comparing with y = -x-3
the answer is C
