Answer: C. Y= -10x -4.
Explanation:
Steeper line : is a line which is closed to y-axis, or closed vertically.
Since, the standard form of a line is,
y = mx + c
Where m is the slope,
If the absolute value of the slope ( that is, |m| ) is maximum then it is called it has the steepest graph.
For, y=-2x+6,
The absolute value of slope = 2,
For, y =8x-1,
The absolute value of slope = 8,
For, y=-10x-4,
The absolute value of slope = 10,
For, Y=7x+3,
The absolute value of slope = 7,
Since, 2< 7 < 8 < 10
Hence, the line y = -10 x - 4 is closest to y-axis,
⇒ Line y = -10 x - 4 has the steepest graph.