Graphing Linear Equations Using Intercepts

The video tutorial explains how to determine the X and Y intercepts of a line given its equation. It describes the process of setting Y to zero to find the X intercept and setting X to zero to find the Y intercept, using a special T-table. The tutorial demonstrates these steps with an example, showing how to solve for X and Y intercepts and how these points can be used to graph the line. The video concludes by emphasizing the usefulness of intercepts in graphing linear equations in standard form.

What is the X-intercept of a line?

• The point where the line crosses the vertical axis

• The point where the line crosses both axes

• The point where the line crosses the horizontal axis

• The point where the line does not cross any axis

What is the Y-intercept of a line?

• The point where the line crosses both axes

• The point where the line crosses the horizontal axis

• The point where the line does not cross any axis

• The point where the line crosses the vertical axis

How do you find the X-intercept of a line?

• Set X = 0 and solve for Y

• Set both X and Y to 0

• Set Y = 0 and solve for X

• Set X = 1 and solve for Y

If Y = 0, what is the X-intercept of the equation 2X - 3Y = 12?

• (-4, 0)

• (0, 6)

• (0, -4)

• (6, 0)

Why is it important to express the X-intercept as a point?

• Because X = 6 is an equation of a horizontal line

• Because X = 6 is an equation of a diagonal line

• Because X = 6 is not a valid equation

• Because X = 6 is an equation of a vertical line

How do you find the Y-intercept of a line?

• Set Y = 1 and solve for X

• Set both X and Y to 0

• Set Y = 0 and solve for X

• Set X = 0 and solve for Y

If X = 0, what is the Y-intercept of the equation 2X - 3Y = 12?

• (0, 6)

• (-4, 0)

• (6, 0)

• (0, -4)

What are the coordinates of the Y-intercept for the equation 2X - 3Y = 12?

• (0, 6)

• (6, 0)

• (0, -4)

• (-4, 0)

What information is needed to graph a line?

• Both the X and Y intercepts

• Only the Y-intercept

• Neither the X nor Y intercepts

• Only the X-intercept

What is a useful method for graphing a line when given its equation in standard form?

• Finding the intercepts

• Finding the distance

• Finding the slope

• Finding the midpoint