How to determine if a point lies on a line or not using the point and the equation

The video tutorial explains how to determine if a point is on a line using the line's equation rather than a graph. It introduces the concept of a line as an infinite set of points and explains the slope-intercept form of a linear equation. The tutorial demonstrates how to test points by plugging their coordinates into the equation and verifying if the equation holds true. It also includes a practical example of testing specific points and verifying them on a graph. The tutorial concludes with a summary of the process for determining if a point lies on a line.

What is the slope-intercept form of a linear equation?

• Y = MX + B

• Y = AX + C

• Y = BX + D

• Y = CX + E

How can you determine if a point is on a line using its equation?

• By checking if the point lies on the graph

• By substituting the point's coordinates into the equation

• By measuring the distance from the origin

• By drawing a line through the point

What is the result when you substitute the point (2, 5) into the equation y = 3x - 1?

• The equation is false

• The equation is true

• The equation becomes undefined

• The equation results in zero

What happens when you substitute the point (-3, -5) into the equation y = 3x - 1?

• The equation becomes zero

• The equation is false

• The equation is true

• The equation is undefined

Why is the point (-3, -5) not on the line y = 3x - 1?

• Because -3 does not equal -9

• Because -3 equals -9

• Because -5 does not equal -10

• Because -5 equals -10