find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6)?
A. m = -2
B. m = 2 ***
c. m = -1/2
D. m = -1
m = -2
OOps!
I messed up
I got it confused these are the answer choices.
A. m = 1
B. m = 2
C. m = -2
D. m = 1/2
To find the slope of a line that is parallel to another line, we need to first find the slope of the given line, and then use that slope to find the slope of the parallel line.
The formula to find the slope (m) between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Given the points (3, 4) and (2, 6), we can now substitute these values into the formula:
m = (6 - 4) / (2 - 3)
m = 2 / -1
m = -2
So, the slope of the line containing the points (3, 4) and (2, 6) is -2.
Since we want to find the slope of a line that is parallel to this line, the slope of the parallel line will also be -2.
Therefore, the correct answer is option A: m = -2.