Exploring Changes in Slope and y-Intercept

This video tutorial covers the concepts of slope and Y-intercept in Algebra 1. It begins with an introduction to these concepts, followed by an explanation of the linear parent function y = x. The tutorial then delves into the slope-intercept form of equations, y = mx + b, and discusses how changes in slope and Y-intercept affect the graph of a line. The video includes comparisons of various equations to the parent function and provides examples to illustrate these concepts.

What is the slope of the linear parent function y = x?

• Undefined

• 2

• 1

• 0

In the slope-intercept form y = mx + b, what does 'b' represent?

• Y-Intercept

• Origin

• X-Intercept

• Slope

If the slope of a line increases, what happens to the steepness of the line?

• It becomes steeper

• It becomes horizontal

• It becomes less steep

• It remains the same

What happens to the line if the y-intercept is increased?

• The line shifts down

• The line shifts up

• The line becomes steeper

• The line becomes flatter

For the equation y = 2x, what is the y-intercept?

• 1

• 0

• Undefined

• 2

If the slope of a line is negative, in which direction does the line go?

• Up to the left

• Up to the right

• Down to the left

• Down to the right

For the equation y = 0.5x, how does the slope compare to the parent function y = x?

• Undefined

• Same

• Flatter

• Steeper

In the equation y = 3.5x, what is the slope?

• 0

• 1

• 3.5

• Undefined

For the equation y = x + 2, where does the line cross the y-axis?

• At 0

• At 1

• At 2

• At -2

In the equation y = -x + 2, what is the slope?

• -2

• 1

• -1

• 2