Exploring Linear Functions and Graphing Techniques

The video tutorial covers modeling 125, focusing on understanding and graphing linear equations in slope-intercept form (y=mx+b). It explains how to graph lines using given slopes and y-intercepts, handle negative slopes, and determine y-intercepts from graphs. The tutorial also covers graphing horizontal and vertical lines and calculating slopes from two points.

What does 'm' represent in the equation y=mx+b?

• x-intercept

• y-intercept

• Coefficient of y

• Slope

What is the y-intercept in the equation y = mx + b?

• b

• x

• m

• y

If the slope (m) is 1/2, what is the movement pattern on the graph?

• Up 1, right 2

• Down 1, right 2

• Up 2, right 1

• Down 2, right 1

What is the y-intercept of the equation y = -3/4x + 1?

• -1

• 1

• -3/4

• 3/4

How do you graph a line with a negative slope?

• Do not move

• Move horizontally

• Move down on the graph

• Move up on the graph

How do you graph a line with a slope of -1/2?

• Up 1, right 2

• Down 1, right 2

• Down 2, right 1

• Up 2, right 1

For the equation y = 3/4x - 1, what is the slope?

• -1

• 1

• -3/4

• 3/4

What does a slope of 0 indicate about a line?

• It is increasing

• It is horizontal

• It is vertical

• It is decreasing

If a line crosses the y-axis at 4, what is the y-intercept?

• 1

• 4

• -4

• 0

What does the equation 'x = 3' represent?

• A vertical line crossing at 3

• A horizontal line crossing at 3

• A line with y-intercept 3

• A diagonal line with slope 3