Find the equation (in terms of x) of the line through the points (-2,1) and(2,9) Y=
2 answers:
Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
You might be interested in
The formula for the area of a cylinder is ×h
First, we do not have to worry about pi because we are leaving our answer in terms of it so we can move on to the radius squared.
The radius is halfway across a circle so our radius would be 4 and we have to square that and we will get a product of 16.
Lastly, we have to multiply 16 by 8 because 8 is the height of the cylinder
16 × 8 = 128
Therefore, the volume of the cylinder would be 128 in.³