Question

Determine the family (linear, absolute value, or quadratic) for each of the following graphs. Then create an equation that would fit this graph.

Answer 1

Since the graph is a straight line the family is a linear equation.

The x intercept is the point in which the line crosses the x-axis which in this case is -2.

The y intercept is the point in which the line crosses the y-axis which in this case is 2.

the domain and range for a linear equation is the same and is

`(-\infty,\infty)`

finally the equation that fits the graph is the line y=x moved 2 units up, since the slope is 1.

`y=x+2`