Which linear equation represents a line parallel to the graph of y = 7x/4

Answer 1

Any linear equation of the slope-intercept form y =7x/4+ b will be parallel to y=7x/4, since the slope of 7/4 will be the same for all such lines. NOTE: b is a positive or negative constant where the line intersects with the y axis

You can see this visually in Matlab (or Octave @ octave-online.net) with the following code (or sequence of commands at the ">>" prompt.):

>> syms x y

>> ezplot(y=7*x/4 )

>> hold

>> ezplot(y=7*x/4 + 2)

>> ezplot(y=7*x/4 + 0.5)

>> ezplot(y=7*x/4 + (-1))

etc.

you will see multiple parallel lines graphed

Answer 2

Parallel lines have equal slopes, so every line with a slope of 7/4 is parallel to the given line.

Answer 3

y = (7/4)x + B