Q:

Determine if the equations below are proportional or nonproportional.y=2/3x + 4y=1/2x2x + 3y=7

Accepted Solution

A:
Answer:y=1/2xStep-by-step explanation:we know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex] In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin Verify each casecase 1) we havey=2/3x + 4This line not passes though the origin (because for x=0 the value of y is not zero)thereforeThe equation is non proportionalcase 2) we havey=(1/2)xThis line passes though the origin (because for x=0 the value of y=0)thereforeThe equation is proportionalcase 3) we have2x + 3y=7This line not passes though the origin (because for x=0 the value of y is not zero)thereforeThe equation is non proportional