Which of the following lines is parallel to the line through

Which of the following lines is parallel to the line through the points (1,3) and (2,6)?

(Answer: 3x-y=4, please show work)

Solution

parallel lines have the same slope. We just need to calculate slope of line passing through given points and slope of the lines in options.

Here, slope of line passing through points is: = (y2-y1)/(x2-x1) (6-3)/(2-1) = 3

Now, the line must be of form: y = mx + c = 3x + c

Here, in options, c = -4