Answer:
See example below.
Step-by-step explanation:
This question does not state the slope. But here is an example with the same point (4,5). Perpendicular lines have negative reciprocal slopes. If the slope of one line is -8, its perpendicular line will have the slope of 1/8.
Substitute m = 1/8 and (4, 5) into the point slope form of a line.
How I got that answer:
The degrees of both the numerator and denominator polynomial are both 2
Degree of 10x^2 is 2
Degree of 5x^2+1 is 2
Because the degrees are equal, this means we divide the leading coefficients 10 and 5 to get 10/5 = 2.
As x gets really really large, in either positive or negative direction, then y is slowly going to approach y = 2.
A graph helps confirm this. See below. I used GeoGebra to make the graph.
It looks like it actually gets to y = 2, but in reality its just getting really really close that it gives that illusion.
