How to find the x and y intercept from an equation

The video tutorial explains how to find the X and Y intercepts of a linear equation both graphically and algebraically. It begins by defining intercepts on a graph, where the X intercept is the point where the line crosses the X-axis, and the Y intercept is where it crosses the Y-axis. The tutorial then addresses the challenge of finding intercepts without a graph by using algebraic methods. It demonstrates solving the equation 2X - 5Y = 1 for X and Y intercepts by setting the opposite variable to zero and solving for the remaining variable. Finally, it shows how to plot these intercepts on a graph.

What is the Y-intercept of a graph?

• The point where the graph crosses the X-axis

• The point where the graph crosses both axes

• The point where the graph crosses the Y-axis

• The point where the graph does not cross any axis

How can you find the X-intercept of an equation algebraically?

• Solve for X without setting any variable to zero

• Set X to zero and solve for Y

• Set Y to zero and solve for X

• Set both X and Y to zero

What happens to a term in an equation when it is multiplied by zero?

• It becomes zero

• It remains unchanged

• It doubles in value

• It becomes one

What is the X-intercept of the equation 2X - 5Y = 1?

• X = 0

• X = -1/5

• X = 1/2

• X = 2

After finding the intercepts, what is the next step in graphing the equation?

• Check for symmetry

• Solve for another variable

• Find the slope of the line

• Plot the intercepts on the graph