1.12.8 Lesson Summary

In this lesson, you learned how to:

• Write an equation of the line given the slope and $y$-intercept.
• Write an equation of the line given the slope and a point.
• Write an equation of the line given two points.

Here are the activities that helped you reach those goals:

• 1.12.1: Using the Slope Formula
  • In this activity, you reviewed using the slope formula to find the slope between two points.
• 1.12.2: Writing an Equation Given the Slope and $y$-Intercept
  • In this activity, you used the given slope and $y$-intercept to write the equation of a line in slope-intercept form. You also worked to find the slope and $y$-intercept from a graph to then write the equation of the line in slope-intercept form.
  • 1.12.2: Self Check
  • 1.12.2: Additional Resources
• 1.12.3: Writing an Equation Given the Slope and a Point 
  • In this activity, you used point-slope form to write the equation of a line given a slope and a point. You then wrote the equation in slope-intercept form.
  • 1.12.3: Self Check
  • 1.12.3: Additional Resources
• 1.12.4: Writing Equations in Different Forms
  • In this activity, you reviewed three possible forms of a linear equation, slope-intercept form, point-slope form, and standard form, and how to convert between the different forms. You then wrote the equation for a line in all three different formats when given a variety of information.
  • 1.12.4: Self Check
  • 1.12.4: Additional Resources
• 1.12.5: Writing an Equation Given Two Points
  • In this activity, you found the slope between two points and confirmed it with the slope formula. You then used one point and the slope to write the equation of a line in point-slope form. From here, you wrote the equation in slope-intercept form and used the graph to check your equation.
  • 1.12.5: Self Check
  • 1.12.5: Additional Resources
• 1.12.6: Choosing a Method to Write an Equation
  • In this activity, you discussed when to use each method of writing an equation. With a partner, you worked to find slopes and equations of lines using different methods.

After these activities, you completed the following practice:

1.12.5: Practice