Finding X- and Y-Intercepts from Standard Form

Mrs. A explains how to find the x and y-intercepts of a line given in standard form. She demonstrates the algebraic method to find each intercept by substituting zero for the other variable. The x-intercept is found by setting y to zero, and the y-intercept is found by setting x to zero. After calculating the intercepts, she shows how to plot these points on a graph and draw the line through them. The video emphasizes the usefulness of standard form for this method and concludes with labeling the graph.

Why is it useful to have the equation in standard form when finding the x and y intercepts?

• It makes the equation easier to solve.

• It allows for easier identification of the slope.

• It helps in converting to other forms.

• It simplifies the process of finding intercepts.

What value do you substitute for y to find the x-intercept?

• 0

• x

• 1

• Any value

What is the x-intercept of the equation 4x + 2y = 6?

• (0, 3)

• (0, 1.5)

• (1.5, 0)

• (3, 0)

What value do you substitute for x to find the y-intercept?

• Any value

• 1

• 0

• y

What is the y-intercept of the equation 4x + 2y = 6?

• (0, 1.5)

• (1.5, 0)

• (3, 0)

• (0, 3)

Where do you plot the x-intercept on the graph?

• On the y-axis

• On the x-axis

• At the origin

• Anywhere on the graph

Where do you plot the y-intercept on the graph?

• Anywhere on the graph

• At the origin

• On the x-axis

• On the y-axis

What tool can you use to draw the line through the intercepts?

• A compass

• A ruler

• A calculator

• A protractor

What is the title of the graph for the equation 4x + 2y = 6?

• Graph of x and y intercepts

• Graph of 4x + 2y = 6

• Graph of y = mx + b

• Graph of linear equation

What is the final step after plotting the intercepts and drawing the line?

• Checking the intercepts

• Finding the slope

• Labeling the graph

• Erasing the points