Chapter 8.5, Problem 11E

To determine

To match:

The given equation with its graph.

Answer to Problem 11E

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 negative, so the graph of equation will be downhill. With each change is x , the value of y will decrease by 1 unit.

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