Finding X and Y Intercepts in Algebra

Mr. Win explains how to find x and y-intercepts of linear functions using graphs, tables, and equations. He provides definitions and examples, including a real-world scenario involving a paper airplane. The video covers identifying intercepts on graphs, using tables to find intercepts, and solving equations in standard form to determine intercepts. The lesson concludes with a practical application of these concepts.

What is the x-intercept of a graph?

• The point where the line intersects the origin

• The y-coordinate where the line intersects the y-axis

• The x-coordinate where the line intersects the x-axis

• The slope of the line

When finding the y-intercept, what is the value of x?

• 0

• It varies

• 1

• It depends on the equation

In a table, how do you identify the x-intercept?

• When both x and y are 0

• When x is 0

• When x is positive

• When y is 0

What is the y-intercept of the equation 2x + 5y = 10?

• 5

• 0

• 2

• 10

How do you find the x-intercept of the equation 2x + 5y = 10?

• Set both x and y to 0

• Set x to 0 and solve for y

• Set y to 0 and solve for x

• Divide the equation by 2

What is the first step in graphing an equation using intercepts?

• Plot the origin

• Find the x and y-intercepts

• Find the slope

• Draw the line

If the x-intercept is 5, where would you plot it on the graph?

• On the y-axis at 5

• On the x-axis at 5

• At the origin

• On the x-axis at -5

In the paper airplane problem, what does the y-intercept represent?

• The distance traveled

• The time it takes to reach the ground

• The speed of the airplane

• The initial height of the airplane

How do you find the x-intercept in the paper airplane problem?

• Find the slope

• Set x to 0 and solve for y

• Divide the height by the time

• Set y to 0 and solve for x

What is the x-intercept in the paper airplane problem?

• 0

• 50

• 20

• 2.5