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2) In the general slope-intercept equation, what variable represents the slope and what variable represents the intercept? |
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In the following questions, identify the slope (m) and y-intercept of the line (b). State the y-intercept as an ordered pair. (Be sure to place the equation in slope-intercept form first, if needed, and then answer the questions.) |
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6) Graph the given linear equation on paper. Describe the appearance of the graph of by giving the y-intercept, the slope, and if the graph is rising or falling from left to right and why. |
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Parent Functions and Transformations |
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7) Which of the following is the parent function for linear equations? |
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8) Describe the appearance of the graph of the equation given as compared to the parent function. Discuss the similarities and/or differences of the slope and y-intercept. |
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9) Describe the appearance of the graph of the equation given as compared to the parent function. Discuss the similarities and/or differences of the slope and y-intercept.
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10) Describe the appearance of the graph of the equation given as compared to the parent function. Discuss the similarities and/or differences of the slope and y-intercept. |
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11) When looking at a linear graph in the coordinate plane, how can the slope be determined as positive or negative? |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Graphing a Line Using the x- and y-intercepts |
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13) In general, how are the x- and y-intercepts found for a linear equation? |
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14) Define the following: (a) y-intercept and (b) x-intercept |
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15) What are the x-intercept and the y-intercept of the equation, 2x + y = 13? Describe how to graph this line using the intercepts. |
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16) What are the x-intercept and the y-intercept of the equation, –16x + y = –4 ? Describe how to graph this line using the intercepts. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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17) When given the slope and a point on the line, explain how to use the point-slope formula to find the equation of that line. |
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In the following questions, determine the equation for the line that fits each description. Express the equation in slope-intercept form. |
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20) When given two points that lie on a line, describe how to find the equation of the line. |
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21) What is the equation of a line that contains points (–4, –3) and (–2, –6)? |
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22) What is the equation of a line that contains points (–3, 2) and (5, 6)? |
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24) Merna’s family joins her in NYC and they must now have a van for their cab rides. Use the below chart to determine the linear equation for the cost of the cab rides. Express the equation in slope-intercept form.
(a) What is the equation?
(b) How much will a 15 minute ride cost? |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Equations of Horizontal and Vertical Lines |
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25) Describe the slope of a horizontal line and state the general equation. |
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26) Describe the slope of a vertical line and state the general equation. |
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In the following problems, describe the appearance of the graphs with graphing. Include information about the slope and intercepts. |
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27) x = –6 |
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28) y = 5 |
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29) Which of the following equations are true about the given graphs? Click here to view the graphs.
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Parallel and Perpendicular Lines |
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30) How are the slopes of parallel lines related? |
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31) How are the slopes of perpendicular lines related? |
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In the following problems, find the slope of a line that is perpendicular to the given lines. (Be sure to express the equation in slope-intercept form first.) |
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In the following problems, find an equation for each line according to the given information. Express the equation in slope-intercept form. |
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36) When given the equation of two lines in standard form (Ax + By = C), how can it be determined if the graphs are perpendicular? |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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39) Simplify.
Click here to review the unit content explanation for Rational Numbers and Exponents. |
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Check with your instructor to see if he/she is interested in awarding extra credit to you for preparing a report on the following research topic: Making a Career of Civil Engineering.
Topics to include may be:
(1) ways to prepare for this career in high school
(2) types of jobs assigned to a civil engineer
(3) connections of civil engineering with the knowledge of slopes of lines
(4) kinds of math studied in college that are required in civil engineering
(5) salary average
(6) any additional information about civil engineering that you discover.
Discuss the type of media you will use to prepare the report with your instructor (Word Processing Report with Pictures, Multimedia Presentation, or other media). |
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40) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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No offline activities found |
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