Understanding Slopes and Lines

This video tutorial teaches how to graph a line using a given point and slope. It covers plotting the initial point, using positive and negative slopes, handling slopes that go off the coordinate plane, and graphing lines with zero and undefined slopes. The tutorial provides step-by-step instructions and tips for accurate graphing.

What is the first step in graphing a line given a point and a slope?

• Draw a horizontal line

• Find the y-intercept

• Plot the given point on the coordinate plane

• Calculate the slope

If the slope is positive, how does the line behave as you move from left to right?

• The line becomes vertical

• The line falls

• The line remains horizontal

• The line rises

What does a slope of 4/5 indicate in terms of movement on the graph?

• Move 4 units down and 5 units left

• Move 4 units up and 5 units right

• Move 5 units down and 4 units left

• Move 5 units up and 4 units right

What happens to the line when the slope is positive?

• The line becomes vertical

• The line falls

• The line remains horizontal

• The line rises

How do you plot a second point when given a negative slope?

• Move down and to the left

• Move up and to the right

• Move up and to the left

• Move down and to the right

What is the effect of a negative slope on the direction of a line?

• The line rises

• The line falls

• The line remains horizontal

• The line becomes vertical

If a line has a slope of -3/2, how do you move to plot the next point?

• Move 3 units up and 2 units left

• Move 3 units down and 2 units right

• Move 2 units up and 3 units right

• Move 2 units down and 3 units left

What should you do if the slope takes you off the coordinate plane?

• Stop plotting

• Reverse the direction of movement

• Ignore the point

• Change the slope

How can you modify a slope of 2 to stay within the coordinate plane?

• Use -1/2

• Use 1/2

• Use 2/1

• Use -2/-1

What is the effect of reversing the direction of movement when plotting a line?

• It makes the line horizontal

• It keeps the slope the same

• It makes the line vertical

• It changes the slope