Graphing Lines Through Intercepts

This video tutorial explains how to graph a line using X and Y intercepts. It begins by introducing the concept of intercepts and demonstrates how to find them from a given equation. The tutorial walks through the process of setting Y to zero to find the X-intercept and setting X to zero to find the Y-intercept. It then shows how to graph the line by plotting these intercepts and connecting them with a straight line. The video concludes with a review of the steps and a quiz to reinforce learning.

What is the X-intercept of a graph?

• The point where the line intersects the Y-axis

• The point where the line intersects the X-axis

• The point where the line intersects both axes

• The point where the line intersects the origin

What is the Y value of the X-intercept?

• It is always 0

• It can be any value

• It is always 1

• It is always -1

How do you find the X-intercept of the equation 2X + 3Y = 12?

• Set X to 1 and solve for Y

• Set Y to 0 and solve for X

• Set both X and Y to 0

• Set X to 0 and solve for Y

What is the X-intercept of the equation 2X + 3Y = 12?

• (6, 0)

• (0, 6)

• (0, -6)

• (-6, 0)

How do you find the Y-intercept of the equation 2X + 3Y = 12?

• Set both X and Y to 0

• Set Y to 0 and solve for X

• Set X to 0 and solve for Y

• Set Y to 1 and solve for X

What is the Y-intercept of the equation 2X + 3Y = 12?

• (-4, 0)

• (0, -4)

• (4, 0)

• (0, 4)

What is the next step after finding the X and Y intercepts to graph the line?

• Connect the points with a straight line

• Find the slope of the line

• Draw a curve through the points

• Plot additional points

What is the X-intercept of the second example equation?

• (6, 0)

• (0, -6)

• (0, 6)

• (-6, 0)

What is the Y-intercept of the second example equation?

• (0, -3)

• (0, 3)

• (3, 0)

• (-3, 0)

What is the final step in graphing the line in the second example?

• Find the slope

• Draw a curve through the points

• Connect the intercepts with a straight line

• Plot additional points