Question

Which linear equation shows a proportional relationship?

y = 2x + 5
y equals one fifth times x minus 7
y equals negative one fifth times x
y = −5

Answer 1

Answer:D -> y equals one fifth times x minus 7

Step-by-step explanation: In a proportional relationship, when x is multiplied by a constant, then y will also be multiplied by the same constant. This means that the ratio between x and y remains constant throughout. In the given options, the equation "y equals one-fifth times x minus 7" follows the proportionality rule because when x is multiplied by 5, then y is also multiplied by 5, which means that the ratio between x and y remains constant throughout. Therefore, the correct option is "y equals one-fifth times x minus 7

Answer 2

y = (-1/5)x

Explanation:

The equation that represents a proportional relationship, or a line, is

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

y = 2x + 5 (N0)

y equals one fifth times x minus 7 ------- y = (1/5)x -7 (No)

y equals negative one fifth times x ------y = (-1/5)x (Yes)

y = −5 (No)