Graphing Lines in Slope-Intercept Form

This video tutorial explains how to graph linear equations in the form y = mx + b. It covers the basics of identifying the slope (m) and y-intercept (b), and demonstrates graphing through examples. The tutorial also addresses common student confusions, such as handling negative slopes and whole number slopes, and provides a step-by-step guide to plotting points and drawing lines. The video concludes with encouragement for further learning and practice.

What is the standard form of a linear equation discussed in the video?

• y = b/m + x

• y = m/b + x

• y = mx + b

• y = bx + m

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

• Coefficient

• Intercept

• Variable

• Slope

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y = 2/3x + 4, what is the y-intercept?

• 4

• 2

• 3

• 2/3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How do you plot the second point if the slope is 2/3?

• Down 3, right 2

• Up 2, right 3

• Down 2, right 3

• Up 3, right 2

Tags

CCSS.8.EE.B.5

What change occurs in graphing when the slope is negative?

• Ignore the y-intercept

• Move down instead of up

• Plot points to the left

• Only use negative coordinates

For the equation y = -2/3x - 5, where does the line intersect the y-axis?

• -5

• 5

• -2/3

• 2/3

If the slope is 3, how should it be written to use it in the slope formula?

• 0.3

• 1/3

• 3/1

• -3

Tags

CCSS.8.EE.B.5

What is the correct way to plot a point if the slope is 3/1?

• Down 3, right 1

• Down 1, right 3

• Up 1, right 3

• Up 3, right 1

Tags

CCSS.8.EE.B.5

What does the y-intercept represent in a graph?

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

• The maximum value of y

How do you determine the direction to plot the second point based on the slope?

• Positive slope: up and to the right

• Negative slope: up and to the right

• Negative slope: down and to the left

• Positive slope: down and to the right

Tags

CCSS.8.EE.B.5