Exploring Slope from Tables and Graphs

What is the first step in finding the slope from a table?

• Identify the y-intercept

• Choose two points

• Calculate the average

• Find the midpoint

Which formula is used to calculate the slope?

• y2 + y1 over x2 + x1

• y2 minus y1 over x2 minus x1

• x2 + x1 over y2 + y1

• x2 minus x1 over y2 minus y1

Why can't you simply say the table values go up by a consistent amount?

• Because the intervals are not consistent

• Because the values are too small

• Because the values are too large

• Because the values are not linear

What is the slope if you choose the points (1, 3) and (4, 9)?

• 4

• 2

• 1

• 3

What does the consistency of the slope in a linear relationship imply?

• The slope will be undefined

• The slope will be zero

• The slope will always be the same

• The slope will vary with different points

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

• y = mx + b

• y = b + mx

• x = by + m

• x = my + b

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

• The y-intercept

• The slope

• The x-intercept

• The constant term

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

• The constant term

• The y-intercept

• The x-intercept

• The slope

If the y-intercept is -4 and the slope is 2, what is the equation of the line?

• y = 2x + 4

• y = -2x - 4

• y = 2x - 4

• y = -2x + 4

How do you determine the y-intercept from a graph?

• By finding where the line crosses the y-axis

• By calculating the slope

• By finding where the line crosses the x-axis

• By finding the midpoint of the line