Answer:
Step-by-step explanation:
Write an equation of the line that passes through p(4,1) and is perpendicular to the line y=1/2x-1?
The slope of a line that is perpendicular to the line y=1/2x-1, will be the negative inverse of the reference line, in this case (1/2). The negative inverse is -(2/1) or -2. So any line of the form y = -2x + b will be perpendicular. But we are told the perpendicular line passes through point (4,1). We can make that happen by picking a value of b such that the equation 1 = -2*(4) + b is true. So solve 1 = -2*(4) + b for b:
1 = -8 + b
b = 9
The equation becomes y = -2x + 9
