Understanding Linear Equations in Slope-Intercept Form

The video tutorial explains how to identify the slope and intercepts of the equation y = -9 - 3x, and how to graph it accurately. It covers the slope-intercept form, finding vertical and horizontal intercepts, and using the slope to plot additional points for graphing. The tutorial also verifies the intercepts using the slope.

What is the first step in solving the problem of identifying the slope and intercepts of a linear equation?

• Recognize the equation's form

• Plot the graph

• Calculate the slope

• Find the intercepts

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y = b + mx, what does 'b' represent?

• The horizontal intercept

• The slope

• The x-coordinate

• The vertical intercept

How is the vertical intercept represented in ordered pairs?

• (x, 0)

• (y, 0)

• (0, y)

• (x, y)

What is the x-coordinate of any point on the vertical axis?

• x

• 0

• y

• 1

How do you find the horizontal intercept algebraically?

• Solve for x and y simultaneously

• Set both x and y to zero

• Set y to zero and solve for x

• Set x to zero and solve for y

Tags

CCSS.8.EE.B.5

What is the slope of the equation y = -9 - 3x?

• -3

• -9

• 9

• 3

Tags

CCSS.8.EE.B.5

How can the slope -3 be expressed in fraction form?

• -1/3

• 1/-3

• -3/1

• 3/-1

Tags

CCSS.8.EE.B.5

What does a slope of -3/1 indicate about the movement on the graph?

• Up 3, right 1

• Down 3, right 1

• Down 1, right 3

• Up 1, right 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

How can you verify the horizontal intercept using the slope?

• By ignoring the slope

• By using a different equation

• By using the slope to find points to the left of the vertical intercept

• By plotting only the vertical intercept

What is the final step in graphing the equation?

• Draw the line through the points

• Calculate the slope again

• Verify the horizontal intercept

• Verify the vertical intercept