A line with an undefined slope passes through the points (-2,1) and (p, q).
Which of the following points could be (p, q)?
A. (1,0)
B. (0,1)
C. (0,-2)
D. (-2,0)
Help Me, I do not know how to figure this out?????
A person tried helping me with this, but I didn't understand what they meant, please help
To determine which of the given points could be (p, q) for a line with an undefined slope passing through (-2,1), we need to understand the concept of an undefined slope.
The slope of a line is defined as the change in y divided by the change in x between two points on the line. If the change in x is zero, the slope becomes undefined because we cannot divide by zero.
In this case, we have one point (-2,1) already given, and we are looking for any other point (p, q) that could be on the line.
To find the slope between the two points (-2,1) and (p,q), we can use the slope formula: slope = (q - 1) / (p - (-2)).
Since the slope is undefined, it means that the denominator (p - (-2)) equals zero.
To find possible values of p, we can set the denominator equal to zero and solve for p:
p - (-2) = 0
p + 2 = 0
p = -2
Now that we have found that p must equal -2, we can substitute this value back into the equation to find possible values of q.
Let's check each of the given points to see if they satisfy the equation:
A. (1,0): slope = (0 - 1) / (1 - (-2)) = -1 / 3 ≠ undefined
B. (0,1): slope = (1 - 1) / (0 - (-2)) = 0 / 2 = 0 ≠ undefined
C. (0,-2): slope = (-2 - 1) / (0 - (-2)) = -3 / 2 ≠ undefined
D. (-2,0): slope = (0 - 1) / (-2 - (-2)) = -1 / 0 = undefined
From the calculations, we can see that only point D, (-2,0), satisfies the condition for an undefined slope. Therefore, the answer is D.