Question

Find the equation of the line in the xy-plane that contains the point (9, 3) and that is parallel to the line y = 6x – 4.

Answer 1

The equation of a line is:
y-yo=m(x-xo)
Where (xo,yo)=(9,3) and m is the slope.
The slope of a line which is parallel to another line is the same; the slope of the line y=6x-4 is 6, then:
y-3=6(x-9)
y-3=6x-54
y=6x-51