Exploring Linear Functions and Slope-Intercept Form

What is the definition of a linear function based on its graph?

• A straight line

• A curve that touches the x-axis

• A parabola

• A series of disconnected points

How do you write the ordered pair for a y-intercept?

• (y, x)

• (0, y)

• (x, 0)

• (y, 0)

What does a negative slope indicate about the direction of a line?

• It moves upwards to the right

• It remains constant

• It moves downwards to the right

• It is vertical

In the context of the graph, what does the x-intercept represent?

• Maximum capacity of the tub

• Rate of water loss

• Time until the tub is empty

• Initial volume of water

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = b + mx

• mx = y + b

• b = mx + y

How do you find the slope from a table of values?

• Change in x over change in y

• Sum of y divided by sum of x

• Change in y over change in x

• Sum of x divided by sum of y

What does the y-intercept represent in a graph?

• The rate of change

• The slope of the line

• The end value

• The starting value

How can you write an equation for a linear relationship given two points?

• Using the slope formula and point-slope form

• By finding the average of the x-values

• By multiplying the y-values

• By adding the x-values

Which tub of water had the most water at the beginning?

• Tub 1

• Tub 2

• Cannot be determined

• Tub 3

Which tub was losing water the fastest?

• Tub 2

• They were losing water at the same rate

• Tub 1

• Tub 3