Question

Is `x/2 - y = 7` a linear equation?

Answer 1

Yes, this is a linear equation.

Explanation:

A linear equation is an equation for a straight line and can be written in the form of `y = mx + b`, where `m` and `b` are constants that determine the slope of the line and the intercept, respectively.

The equation `x/2 - y = 7` can be rewritten as `y = x/2 -7` and thus fits this pattern. The slope of this straight line is `1/2` and the constant term (y-intercept) is `-7`.

graph{x/2 - y = 7 [-45, 45, -22.5, 22.5]}