ANSWER

Or

EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.

We divide through by 4 now;

This is now in the form;

where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of
.
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,

When we substitute the slope we have;

We substitute the point.
to find c.



We substitute c to obtain;

Or

Answer:
<em> x = -3</em>
Step-by-step explanation:
A line has equation: y = ax + b
This line has slope a = 1
This line passes (4, 1)
=> 1 = 4 + b
=> b = -3
=> The equation of this line : y = x - 3
This line passes another point (x, -6)
=> -6 = x - 3
=> x = -6 + 3
=> x = -3