Question

(Linear Relationships MC)

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 equals two thirds times x

Explanation:

A proportional relationship means the relationship is represented by a line passing through the origin (0,0).

Only the equation "y equals two thirds times x" does not have a constant (or y-intercept) term, which means it will pass through the origin. The other equations have a constant term, so they are not proportional relationships.

Answer 2

y equals two thirds times x

Explanation:

A proportional relationship is represented by an equation of the form y equals some constant multiplied by x. In this case, the equation that shows a proportional relationship is:

y equals two thirds times x