Geometry 3-7 Guided Practice: Equations of Lines in the Coordinate Plane
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Solve It! Ski resorts use steepness to rate the difficulty of their hills. The steeper the hill, the higher the difficulty rating. Shown are stretches of three new hills at a particular resort.
Which hill gets which rating?
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
Hill A | arrow_right_alt | Easiest |
Hill B | arrow_right_alt | Intermediate |
Hill C | arrow_right_alt | Difficult |
Take Note: Define slope. You may use the canvas to help illustrate your description.
Take Note: Describe how you can find the slope of a line if you know the coordinates of two points on the line. You may use the canvas to help illustrate your description.
Problem 1 Got It? What is the slope of line a?
Problem 1 Got It? What is the slope of line c? Enter only a number.
Take Note: On the canvas, sketch an example of a line that has positive slope.
Take Note: Write the general equation for slope-intercept form. Enter only the equation, with no spaces.
Problem 2 Got It? Graph the equation on the canvas.
Be sure to include all relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Problem 2 Got It? Graph the equation on the canvas.
Be sure to include all relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.
Problem 2 Extension: Graph both equations on the same plane using the embedded Desmos utility. Zoom and pan your graph to establish an appropriate viewing window.
Problem 3 Got It?
Problem 3 Got It?
Take Note: Summarize the process of writing the equation of a line in slope-intercept form when you know the coordinates of two points on the line. You may use the canvas to help illustrate your description.
Take Note: Summarize the process of writing the equation of a line in point-slope form when you know the coordinates of two points on the line. You may use the canvas to help illustrate your description.
Problem 4 Got It? Graph both of the equations below, created from Problem 4 and its Got It, on the same plane. Zoom and pan your graph to establish an appropriate viewing window.
Take Note: Match each graph with its slope.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | Positive slope |
| arrow_right_alt | Negative slope |
| arrow_right_alt | Zero slope |
| arrow_right_alt | Undefined slope |
Problem 5 Got It?
Problem 5 Got It?
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: On the canvas, sketch an example of a line that has negative slope.
Take Note: On the canvas, sketch an example of a line that has zero slope.
Take Note: On the canvas, sketch an example of a line that has undefined slope.
Take Note: Write the general equation for point-slope form. Enter only the equation, with no spaces.
Hints: You may use the subscript button on the math input keyboard or the underscore key to initiate subscript. Use the right arrow to exit subscript.
