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In Exercises 14, match the equation with its graph.

Chapter 0, Problem 1

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QUESTION:

In Exercise, match the equation with its graph. [Graphs are labeled (a), (b), (c), and (d).]

\(y=-\frac{1}{2} x+2\)

Questions & Answers

QUESTION:

In Exercise, match the equation with its graph. [Graphs are labeled (a), (b), (c), and (d).]

\(y=-\frac{1}{2} x+2\)

ANSWER:

Step 1 of 5

Consider the following equation ,

\(y=-\frac{1}{2} x+2\)

Find the intercept x and y intercepts of the graph of the given equation.

First find x-intercept.

To find the x-intercept,substitute 0 for y in the given equation,and solve for x.

\(y=-\frac{1}{2} x+2\)

\(0=\frac{1}{2} x+2\)        substitute \(0\) for y

\(-2=-\frac{1}{2} x\)         subtract 2 from both sides

4 = x                              Multiply both sides by -2          

Therefore,the x-intercept of the graph of the given equation is \((4,0)\).

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