Which line having the given slope and passing through the given point represents a direct variation?

,

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

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 case

case A) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is true

therefore

This line represent a direct variation

case B) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

case C) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

case D) For   point

The linear direct variation equation is equal to

For

substitute the value of x and the value of y in the equation and then compare the result

------> is not true

therefore

This line not represent a direct variation

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest