Graphing Linear Equations and Intercepts

This lesson covers graphing linear equations using intercepts. It begins with an introduction to graphing with intercepts, followed by a review of the slope-intercept form. The lesson then explains how to graph from standard form using x and y intercepts, providing step-by-step examples and exercises for practice. The session concludes with a summary and instructions for the exit ticket.

What is the main focus of the lesson on graphing linear equations?

• Using only the slope to graph

• Graphing using intercepts

• Graphing quadratic equations

• Using only the y-intercept to graph

How do you find the x-intercept of a linear equation in standard form?

• Use the quadratic formula

• Use the slope formula

• Set y to zero and solve for x

• Set x to zero and solve for y

What is the first step in graphing a line using intercepts?

• Find the x-intercept

• Find the y-intercept

• Find the midpoint

• Find the slope

In the practice exercise, what is the x-intercept of the equation 2x + 3y = 9?

• (0, 3)

• (4.5, 0)

• (0, 4.5)

• (3, 0)

What is the y-intercept of the equation x - 6y = 15?

• (15, 0)

• (0, -3)

• (0, -2.5)

• (0, 2.5)

What is the final step in graphing a line using intercepts?

• Plot additional points

• Find the midpoint

• Connect the intercepts

• Calculate the slope

What should you do if you encounter a horizontal or vertical line in the problem set?

• Skip the problem

• Use the quadratic formula

• Refer to lesson 14

• Use the slope-intercept form

How can you determine if an equation is linear?

• Look for a quadratic term

• Check if the exponents are all ones or zeros

• Check if the equation is in standard form

• See if the equation has a constant term

What should you do if you need help with the problem set?

• Ask a classmate

• Skip the questions

• Email the teacher for assistance

• Use a calculator

What is the purpose of the exit ticket in this lesson?

• To practice graphing using intercepts and slope-intercept form

• To test knowledge of quadratic equations

• To review previous lessons

• To introduce new concepts