Graphing Linear Equations and Intercepts

This video tutorial teaches how to graph linear equations using X and Y intercepts. It covers finding intercepts, plotting them on a coordinate plane, and drawing the line through these points. The tutorial includes examples in both standard and slope-intercept forms, and addresses special cases where intercepts coincide. Viewers are encouraged to practice with provided examples and check additional resources for further learning.

What is the first step in graphing a linear equation using intercepts?

• Find the slope of the line.

• Identify the X and Y intercepts.

• Plot random points on the graph.

• Calculate the midpoint of the line.

How do you find the X-intercept of a linear equation?

• Use the midpoint formula.

• Find the slope and use it to calculate X.

• Set Y to zero and solve for X.

• Set X to zero and solve for Y.

What is the X-intercept of the equation 2x + 0 = 4?

• (4, 0)

• (0, 4)

• (0, 2)

• (2, 0)

How do you find the Y-intercept of a linear equation?

• Use the midpoint formula.

• Find the slope and use it to calculate Y.

• Set Y to zero and solve for X.

• Set X to zero and solve for Y.

What is the Y-intercept of the equation -2y = 4?

• (0, -2)

• (4, 0)

• (0, 2)

• (2, 0)

What is the next step after finding the intercepts of a linear equation?

• Plot the intercepts on the coordinate plane.

• Calculate the slope.

• Find the midpoint.

• Solve for the vertex.

In the example problem, what is the X-intercept of the equation 5x = 15?

• (3, 0)

• (0, 3)

• (0, 5)

• (5, 0)

In the example problem, what is the Y-intercept of the equation 3y = 15?

• (5, 0)

• (3, 0)

• (0, 5)

• (0, 3)

What is the most straightforward method to graph linear equations in standard form?

• Using the slope and Y-intercept.

• Finding the midpoint.

• Using the X and Y intercepts.

• Calculating the vertex.

How do you find the X-intercept in slope-intercept form?

• Set X to zero and solve for Y.

• Find the slope and use it to calculate X.

• Use the midpoint formula.

• Set Y to zero and solve for X.