# What is the domain and range of -3x + 2y = -6?

Sep 7, 2017

Domain: {x| -oo ≤ x ≤ oo}
Range: {y| -oo ≤ y ≤ oo}

#### Explanation:

Let's put this equation in the slope-intercept form.

$- 3 x + 2 y = - 6 \to$

$2 y = 3 x - 6 \to$

$y = \frac{3}{2} x - 3$

Since this is a linear equation, the domain and range of a linear equation is all real numbers. There are no restrictions for linear equations, unless there is additional information in the problem listed (other than the equation). If you were to graph this equation, the line will go on forever.