Question

The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?

Answer 1

B. They are not parallel because their slopes are not equal.

Explanation:

Find the slope of the line that runs through points (6, 3) and (-1, 5):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (5 - 3)/(-1 - 6)`

`slope (m) = (2)/(-7) = -(2)/(7)`

Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.

The answer is "B. They are not parallel because their slopes are not equal."