Exploring Slope-Intercept Form in Linear Relationships

The video tutorial introduces the concept of slope-intercept form, focusing on how to find it in graphs. It explains the components of the equation y = mx + b, where m is the slope and b is the y-intercept. The tutorial provides a step-by-step guide to calculating the slope using two points on a graph, emphasizing the 'rise over run' method. Two examples are given: one with a proportional graph passing through the origin and another with a non-proportional graph. The video concludes with forming linear equations based on the calculated slope and y-intercept.

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

• y = m + bx

• y = mx - b

• y = ax^2 + bx + c

• y = mx + b

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

• The slope

• The y-intercept

• The x-intercept

• The constant term

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

• The dependent variable

• The y-intercept

• The x-intercept

• The slope

How do you calculate the slope (m) from two points on a graph?

• Product of x and y coordinates

• Change in y over change in x

• Sum of x and y coordinates

• Change in x over change in y

What is the slope of a line that passes through the points (6, 1) and (0, 0)?

• 6

• 1

• 0

• 1/6

If a line passes through the origin, what is its y-intercept?

• Depends on the slope

• 0

• Undefined

• 1

What is the slope of a line that passes through the points (-2, 6) and (-1, 1)?

• -1

• 1

• 5

• -5

What is the y-intercept of the line with the equation y = -5x - 4?

• 4

• -4

• 5

• -5

How does a negative slope affect the direction of a line on a graph?

• It remains horizontal

• It slants downward from left to right

• It slants upward from left to right

• It remains vertical

What is the final equation for a line with a slope of -5 and a y-intercept of -4?

• y = 5x + 4

• y = -5x + 4

• y = -5x - 4

• y = 5x - 4