Slope of a Fitted Line

The linear model for some butterfly data is given by the equation \(y = 0.238x + 4.642\). Which of the following best describes the slope of the model?

• 
• For every 1 mm the wingspan increases, the length of the butterfly increases 4.642 mm.

• For every 1 mm the length of the butterfly increases, the wingspan increases 0.238 mm.

• For every 1 mm the length of the butterfly increases, the wingspan increases 4.642 mm.

• 
• 
• For every 1 mm the length of the butterfly increases, the wingspan increases 0.238 mm.

• For every 1 mm the length of the butterfly increases, the wingspan increases 4.642 mm.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Find the slope of the line.

• 1/4

• -1/4

• -4

• 4

What number should be put in the denominator for the X value?

• 4

• 2

What number should be put in the denominator for the X value?

• 4

• 2

Find the rate of change

• 3

• -3

• -1/3

• 1/3

What line has the steepest slope?

• All slopes are equal

• Red

• Blue

• Green

What is the rate of change?

• 1/2

• 2

• 7

• 3

What is the rate of change?

• 5

• 1/5

• 15

• 10