Answer:

Step-by-step explanation:
Tan can be defined as:
as it simplifies to opposite/adjacent. If you know a bit about the unit circle, you'll know that the x-coordinate is going to be cos(theta) and the y-coordinate is going to be sin(theta). Since the sin(theta) is defined as opposite/hypotenuse, and the hypotenuse = 1, so sin(theta) is defined as the opposite side, which is the y-axis. Same thing goes for cos(theta), except the adjacent side is the x-axis.
Using this we can define tan

Answer:
1/4
Step-by-step explanation:
To find the slope of a line from two points we use
m = (y2-y1)/(x2-x1)
m = (3-2)/ (3--1)
= (3-2)/(3+1)
=1/4
The reciprocal means you're just flipping the fraction around,, so it would be 9/10
Answer:
5q = 4p + 2
Step-by-step explanation:
4p = 5q - 2
4p + 2 = 5q - 2 + 2
5q = 4p + 2