Graphing Linear Equations and Slope

Miss Harkness explains how to graph equations using the slope-intercept form, y = mx + b. She demonstrates graphing two equations: y = 1/2x + 3 and y = -2x - 4, highlighting how to identify the slope and y-intercept, and how to plot these on a graph. The video covers both positive and negative slopes, showing how to adjust the graphing direction accordingly.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = x^2 + y^2 = r^2

In the equation y = 1/2x + 3, what does the number 3 represent?

• The origin

• The y-intercept

• The x-intercept

• The slope

How do you determine the slope from the equation y = 1/2x + 3?

• It is the coefficient of x

• It is the sum of coefficients

• It is the product of coefficients

• It is the constant term

When graphing y = 1/2x + 3, what is the first step?

• Draw the line

• Plot the y-intercept

• Plot the x-intercept

• Calculate the slope

What is the slope of the line in the equation y = 1/2x + 3?

• 1/2

• 3

• -2

• 0

In the equation y = -2x - 4, what does the -4 represent?

• The x-intercept

• The y-intercept

• The slope

• The origin

What is the slope of the line in the equation y = -2x - 4?

• -4

• 4

• 2

• -2

When graphing y = -2x - 4, what is the first step?

• Plot the x-intercept

• Plot the y-intercept

• Draw the line

• Calculate the slope

How do you graph a negative slope like in y = -2x - 4?

• Move down and left

• Move up and left

• Move down and right

• Move up and right

What is the final step in graphing a line from an equation?

• Calculate the slope

• Find the x-intercept

• Plot the y-intercept

• Draw the line connecting the points