Geometry 3-7 Guided Practice: Equations of Lines in the Coordinate Plane

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?

Hill A		Easiest
Hill B		Intermediate
Hill C		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: 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 slope-intercept form. Enter only the equation, with no spaces.

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.

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.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

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.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Take Note: Match each graph with its slope.

		Positive slope
		Negative slope
		Zero slope
		Undefined slope

Problem 5 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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?

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: 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 slope-intercept form. Enter only the equation, with no spaces.

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.

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.

Problem 5 Got It?

Problem 5 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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?

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.

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.