Question

Which linear equation shows a proportional relationship?

y equals two thirds times x
y equals negative 3 times x minus one seventh
y equals three fourths times x minus 5
y equals 3 times x plus 7

Answer 1

y/x = k, where k is the constant of proportionality.

Explanation:

Answer 2

Answer: y/x = k, where k is the constant of proportionality.

Explanation:

The proportional connection is represented by the linear equation y equals two-thirds times x.

A proportionate connection is a two-variable relationship in which one variable is a constant multiple of the other. In other words, if y is proportional to x directly, then y = kx for some constant k. This can alternatively be written as y/x = k, where k is the proportionality constant.

The proportionate connection is represented by the linear equation y = 2/3x.

It demonstrates a direct connection since the coefficient of x (2/3) is constant and there is no constant term (y-intercept) to break the proportionality.

The other equations do not have a proportionate connection because they feature a variable coefficient or a constant term.