Question

dose each equation repersent proportional relation ship chose yes or no y=7x-3 y=150x

Answer 1

An equation of a Proportional relationship has the following form:

$y=kx$

Where "k" is called Constant of proportionality.

The graph of Proportional relationships is a line that passes through the point (0,0), which is known as Origin.

For this case you have the first equation:

$y=7x-3$

Notice that this an Equation of the line that is written in Slope-Intercept form, so its slope and y-intercept are:

$\begin{gathered} m=7 \\ b=-3 \end{gathered}$

Since the line does not pass through the origin, it is not a proportional relationship.

The second equation is:

$y=150x​$

Notice that it has the form:

$y=kx$

Whose Constant of proportionality (its slope), is:

$k=150$

Therefore:

- The first equation does not represent a Proportional relationship.

- The second equation represents a Proportional relationship.