Linear Functions Worksheet (Page 3 of 3) in pdf

Linear Functions Worksheet Page 3

Summary of slopes:

A line with positive slope _________________

A line with zero slope ____________________

A line with negative slope _________________

A line with undefined slope __________________

Slope will always be consistent between any two points on a line.

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Ex. Graph the line that passes through ( 3, -4 ) with a slope of

IV. Application of Slope

Ex. Discuss the slope of the line as it relates to the actual retail sales.

V. Solve a Linear Equation Using Two Different Methods

Method 1 : Graph the left side of the equation as a line and the right side of the equation as a

line, then find their point of intersection. The x coordinate of that intersection point is the

solution.

* This is easiest done using the calculator: Enter the left side into Y

and the right side into Y

then ZOOM 6 to get the graph drawn. Adjust the WINDOW as needed so that the calculator can

“see” the point of intersection. Use 2

CALC ( on top of TRACE) 5:Intersection ENTER

ENTER ENTER to get the point of intersection.

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+ =

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Ex.

Method 2: Write the equation with 0 on one side, then find the x intercept point. The x

coordinate of that point is the solution to the equation.

* In the calculator: Once the equation = 0, enter the variable side into Y

and ZOOM 6. Adjust

the WINDOW as needed so the calculator can “see” the x intercept. Use 2

CALC (on top of

TRACE) 2:Zero, then move the cursor to the left of the x intercept, ENTER, then move it to the

right of the x intercept, ENTER, then ENTER to make the calculator guess.

*Linear Models (pp. 219 – 220) is very important. Study Example 9.

Assignments:

Text: pp. 221 – 226 #1 – 6, 7 – 17 odd, 25 – 28, 29 – 41 odd, 45 – 57 odd, 59 – 64, 65, 69, 71

Linear Functions Worksheet Page 3