Answer: false.
Explanation:
A direct variation equation is an equation where one fo the variable is equal to a constant times the other variable, we can write a general direct variation equation as:
y = k*x
Notice that the y-intercept is equal to zero in this type of equations.
Where y and x are the variables, and k is the constant.
In this case, we have the equation:
y = x - 7
Notice that in this equation we have a y-intercept equal to -7, which is different than zero.
Then the equation does not show direct variation, which means that the statement is false.