Understanding Intercepts in Linear Equations

This video tutorial explains how to use intercepts to graph linear equations in two variables. It covers the concepts of vertical (y-intercept) and horizontal (x-intercept) intercepts, demonstrating how to find them by setting x or y to zero and solving the equation. The tutorial includes examples with equations y = 3x - 2 and 4x - 2y = 10, showing how to determine and plot these intercepts on a graph.

What is the point called where a line crosses the vertical axis?

• Origin

• Slope

• Vertical intercept

• Horizontal intercept

What is always the x-coordinate of a vertical intercept?

• X

• 1

• 0

• Y

How do you find the vertical intercept of a linear equation?

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Find the slope

• Use the midpoint formula

What is always the y-coordinate of a horizontal intercept?

• X

• 0

• 1

• Y

How do you find the horizontal intercept of a linear equation?

• Use the midpoint formula

• Set x to 0 and solve for y

• Find the slope

• Set y to 0 and solve for x

What is the purpose of completing a table of values in graphing?

• To calculate the midpoint

• To find the area under the curve

• To determine intercepts

• To find the slope

In the equation y = 3x - 2, what is the vertical intercept?

• (3, 0)

• (0, -2)

• (-2, 0)

• (0, 3)

In the equation y = 3x - 2, what is the horizontal intercept?

• (0, 3)

• (3, 0)

• (2/3, 0)

• (0, -2)

For the equation 4x - 2y = 10, what is the vertical intercept?

• (0, 5)

• (0, -5)

• (-5, 0)

• (5, 0)

For the equation 4x - 2y = 10, what is the horizontal intercept?

• (0, 5)

• (0, 2.5)

• (2.5, 0)

• (5, 0)