# If there is a graph with a line going through (-1, -1), (0, 0), (1, 1), (2, 2) What is the domain and range?

Jun 29, 2018

Domain: $\left(- \infty , \infty\right) \text{ or all Reals}$

Range: $\left(- \infty , \infty\right) \text{ or all Reals}$

#### Explanation:

Given: a line that goes through $\left(- 1 , - 1\right) , \left(0 , 0\right) , \left(1 , 1\right) , \left(2 , 2\right)$

The slope of the line $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = 1$

The $y$-intercept is the point $\left(0 , b\right) = \left(0 , 0\right) \implies b = 0$

Equation of the line: $y = x$

All line equations have the same domain and range:

Domain: $\left(- \infty , \infty\right) \text{ or all Reals}$

Range: $\left(- \infty , \infty\right) \text{ or all Reals}$