Understanding the Equation of a Line: Y = MX + B

The video tutorial explains the line equation y = mx + b, focusing on how changes in the slope (m) and y-intercept (b) affect the graph of the line. It demonstrates that increasing the slope makes the line steeper, while a negative slope results in a downward slant. A slope of zero results in a horizontal line. Changing the y-intercept shifts the line up or down without altering its slant. The tutorial provides a clear visual understanding of these concepts.

What does the 'M' represent in the equation Y = MX + B?

• The y-intercept of the line

• The slope of the line

• The x-coordinate of a point

• The constant term

How does increasing the slope affect the line on a graph?

• The line becomes less steep

• The line becomes more steep

• The line shifts downward

• The line shifts upward

What happens to the line when the slope is increased from 3 to 6?

• The line becomes less steep

• The line becomes more steep

• The line shifts downward

• The line shifts upward

What happens to a line when the slope is positive?

• The line remains horizontal

• The line goes down from left to right

• The line becomes vertical

• The line goes up from left to right

If the slope of a line is -3, how would you find another point on the line?

• Go down 3 units and right 1 unit

• Go up 3 units and left 1 unit

• Go down 3 units and left 1 unit

• Go up 3 units and right 1 unit

How does a negative slope affect the direction of a line?

• The line goes up from left to right

• The line remains horizontal

• The line becomes vertical

• The line goes down from left to right

What is the characteristic of a line when the slope is zero?

• The line is curved

• The line is diagonal

• The line is horizontal

• The line is vertical

What effect does changing the y-intercept have on the line?

• It shifts the line up or down

• It changes the slope of the line

• It makes the line less steep

• It makes the line steeper

Where does the line cross the y-axis if the y-intercept is 3?

• At y = 0

• At y = -3

• At y = 3

• At y = 1

If the y-intercept is -2, where does the line intersect the y-axis?

• At y = -1

• At y = 0

• At y = -2

• At y = 2