Find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6).
explain
A. m = 1
B. m = 2
C. m = –2
D. m = one-half
C. m = –2
Explanation: The slope of a line is calculated by finding the change in y over the change in x. In this case, the change in y is 6 - 4 = 2 and the change in x is 3 - 2 = 1. Therefore, the slope of the line containing the points (3, 4) and (2, 6) is m = 2/1 = 2. Since the line we are looking for is parallel to this line, its slope must also be 2, but with a negative sign. Therefore, the slope of the line we are looking for is m = –2.