How to find the x and y intercepts of a graph table and equation

The video tutorial explains how to find the X and Y intercepts of a linear function. It covers the basic definitions of intercepts, how to identify them on a graph, and how to express them as coordinate points. The tutorial also demonstrates finding intercepts using a table and solving equations to determine intercepts. The key takeaway is understanding that at the Y intercept, the X value is zero, and at the X intercept, the Y value is zero.

What is the primary purpose of finding the X and Y intercepts in a graph?

• To identify the maximum and minimum points

• To calculate the area under the curve

• To find the slope of the line

• To determine where the graph crosses the axes

If a graph crosses the Y-axis at 3, what is the Y intercept as a coordinate point?

• (3, 3)

• (3, 0)

• (0, 0)

• (0, 3)

When finding the X intercept, what is the value of Y?

• Y is equal to the slope

• Y is always 0

• Y is always 1

• Y is equal to the X value

What is the significance of one of the coordinate values being zero at intercepts?

• It indicates the slope of the line

• It determines the line's length

• It signifies where the line crosses an axis

• It shows the line's maximum point

In a table, if X is 0, what does this indicate about the Y intercept?

• The Y intercept is the average of X and Y

• The Y intercept is the same as the X intercept

• The Y intercept is the value of Y when X is 0

• The Y intercept is undefined

How can you find the X intercept from the equation 8X + Y = 12?

• Set X to 0 and solve for Y

• Set Y to 0 and solve for X

• Set both X and Y to 0

• Set X to 1 and solve for Y

What is the X intercept of the equation 8X + Y = 12?

• (0, 12)

• (3/2, 0)

• (12, 0)

• (0, 3/2)