ACT SAT Prep How to determine if a point lies on a line

The video tutorial explains how to determine if a point lies on a line given by the equation y = 1/2x + 3. It covers two methods: graphing and algebraic verification. The graphing method involves identifying the y-intercept and using the slope to plot points, while the algebraic method involves substituting the point's coordinates into the equation to check for validity. The tutorial emphasizes understanding both methods for situations where graphing is not feasible. The session concludes with a prompt for further examples.

What is the first step in graphing the equation y = 1/2x + 3?

• Identify the slope

• Plot the x-intercept

• Draw a horizontal line

• Identify the y-intercept

Which point lies on the line y = 1/2x + 3 based on the graph?

• (0, 3)

• (1, 1)

• (3, 0)

• (0, 0)

How can you verify if a point lies on a line without graphing?

• By checking the slope

• By drawing a tangent

• By using a calculator

• By substituting the point into the equation

What happens when you substitute the point (0, 0) into the equation y = 1/2x + 3?

• The equation is satisfied

• The equation is not satisfied

• The point becomes the x-intercept

• The point becomes the y-intercept

Why is algebraic verification useful when graphing is not possible?

• It requires less mathematical knowledge

• It is easier to understand

• It provides an exact solution

• It is faster than graphing