How to determine the equation of a line given a point and slope

The video tutorial explains how to write an equation in slope-intercept form, Y = MX + B, where M is the slope and B is the Y-intercept. It discusses how to identify the slope and Y-intercept, even when the Y-intercept is not directly given. By using a point on the line, the tutorial demonstrates how to solve for the Y-intercept and finalize the equation. The process involves substituting known values into the equation and solving for the unknowns to complete the equation in slope-intercept form.

What does the 'M' represent in the slope-intercept form of an equation?

• The Y-intercept

• The slope

• The X-coordinate

• The constant term

If a point on the line is given as (2, 3), what can be inferred about the Y-intercept?

• It is the Y-intercept

• It is not the Y-intercept

• It is the X-intercept

• It is the slope

How can you determine the Y-intercept if you have a point on the line?

• By assuming the Y-intercept is zero

• By using the point as the slope

• By using the point as the Y-intercept

• By substituting the point into the equation and solving for B

What is the final equation in slope-intercept form after solving for B?

• Y = -5X + 7

• Y = 5X - 7

• Y = 5X + 7

• Y = 7X - 5

What is the significance of the Y-intercept in the equation of a line?

• It is the point where the line crosses the X-axis

• It is the point where the line crosses the Y-axis

• It determines the slope of the line

• It is the midpoint of the line