Determine whether the points (1,1) , (-3,1) , and (-7,1) are collinear.

A) The points are not collinear.
B) The points are collinear.

To check if the points are collinear, we need to see if they lie on the same line. We can find the equation of the line passing through any two of the given points using the slope-intercept formula.
Let's take the points (1,1) and (-3,1). The slope of the line passing through these points is:
m = (1-1)/(-3-1) = 0/-4 = 0
Since the slope is 0, the line is horizontal and the equation of the line is y = 1 since all the points have a y-coordinate of 1.
Now, let's check if the third point (-7,1) also lies on this line.
Substituting x = -7 and y = 1 in the equation y = 1, we get:
1 = 1
Since the point (-7,1) satisfies the equation y = 1, it lies on the line passing through (1,1) and (-3,1).
Therefore, all three points lie on the same line and are collinear.