find the slope of a line that is parallel to the line containing the points (3,4) and (2,6) A.) m=1 B.) m=2 C.)-2 D.) m=1/2
I think the answer is d
To find the slope of a line parallel to another line, you need to determine the slope of the original line first.
The formula to find the slope, denoted as "m," of a line between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
For the given points (3,4) and (2,6), we can substitute the 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 the question asks for the slope of a line parallel to this line, the slope of this parallel line will also be -2.
Therefore, the correct answer is C.) -2.