Does the equation specify a function with independent variable x? If so, find the domain of the function. If not, fin a value of x to which there corresponds

Question

Does the equation specify a function with independent variable x? If so, find the domain of the function. If not, fin a value of x to which there corresponds more thank one value of y. 6x-7y=21

Answer 1

This equation is the equation of a line in slope intercept form can be written as 

y=6/7 X - 3. So a slope of 6/7 and a y intercept of -3. 

 

All lines that are not vertical are functions bc they pass the vertical line test.

 

the domain is all real numbers.  

Answer 2

6x - 7y = 21 is in the standard form, Ax + By = C, of a straight (non-vertical) line.

It represents a function.

"x" is the independent variable, "y" is the dependent

The domain of "x" is all real numbers.