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Chapter 3: Q3. (page 208)

What is the slope of the linear function graphed below?

A.-13

B.12

C.鈥�23

D.32

Short Answer

Expert verified

The slope of the linear function is Option C. 23.

Step by step solution

01

Step 1. State the concept of slope of the line joining two points.

The slopem of the line joining two pointsx1,y1 andx2,y2 is given as m=y2鈭�y1x2鈭�x1.

02

Step 2. Find two points on the line.

From the graph, it can be seen that the line passes through the point3,1 and the y-intercept 0,鈭�1.

03

Step 3. Calculate the slope (m).

Substitute the point 3,1as x1,y1and point 0,鈭�1as x2,y2in the formula of slope to find the slope.

Slopem=y2鈭�y1x2鈭�x1=鈭�1鈭�10鈭�3=鈭�2鈭�3=23

Thus, the slope of the graphed linear function is 23.

Hence, option C is correct.

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