Answer:
Option C) y + 4 = x
Step-by-step explanation:
We are given the following information in the question:
Line AB goes through the points A (0, –4) and B (6, 2).
We can use the two-point form of equation of straight line.
The equation of line is given by:
where,
is the point through which the line passes.
The equation of line is:
Thus, the equation of line AB is given by Option C) y + 4 = x
Answer:

Step-by-step explanation:
start by squaring both sides:

squaring a square root cancels it out:

solve for x by first adding 8 to both sides:

then divide both sides by 3:

Answer:

Step-by-step explanation:
Given
Represent point A as thus;

Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

Then, y is negated to give A'

Answer:
x = 8
Step-by-step explanation:
Notice that the x-coordinates of the two points are both 8. Thus, the points are on the vertical line x = 8.
Answer:
all integers where n ≥ 1
Step-by-step explanation:
n is a counting number, since it counts the terms of the sequence. It is in the set {1, 2, 3, ...}, any of the integers 1 or greater.