Chapter 8.5, Problem 12E

To determine

To match:

The given equation with its graph.

Answer to Problem 12E

The graph of equation $y=x-2$ would be:

Explanation of Solution

Given:

An equation and 3 graphs: $y=x-2$ .

Concept used:

We know that slope-intercept form of an equation is $y=mx+b$ , where m represents slope of line and b represents the y -intercept.

Calculation:

Upon looking at our given equation, we can see that it is in slope-intercept form. The slope of our given line is 1 and the y -intercept is $-2$ .

Since slope of our given line is positive, so the graph of equation will be uphill. With each change is x , the value of y will increase by 1 unit.

Upon looking at our given graphs, we can see that graph represented by option B is correct choice as its slope is 1 and graph intersects y -axis at point $(0,-2)$ .