Rate of Change and Linear Equations

You are at (3,5) and your lost dog is sending a signal from (8,-10). What is the equation of the line between you?

• 7

• 3/5

• -5/3

• -3/5

• None of these

Space vehicle Unbreakable II is reentering the atmosphere. At t=30 seconds, it is at altitude of 110 km. At t=75 seconds, it is at an altitude of 87 km. What is its rate of change in km/sec?

• -78.84

• -1.96

• -8.33

• -0.51

• None of these

• y-int: -2/5

  slope: -3

• y-int: 3

  slope: -2/5

• y-int: -3

  slope: -2/5

• y-int: -3

  slope: 5/2

• None of these

Find the equation of the line that is PERPENDICULAR to the line y=3x-7 and passes through (-9,5)

• y=-1/3 x -7

• y=3x+32

• y=-1/3 x+8

• y=-1/3 x +2

Given the table, write the equation in the slope-intercept form.

• y = 1/3x + 6

• y = 3x + 6

• y = 2x + 6

• y = 1/2x + 6

Find the slope of the line.

• -3

• 1/3

• 3

• -1/3

The table shows Eli’s distance from home as he rides his bike at a steady rate after meeting a friend. Write an equation that represents the miles, y, that Eli goes in x hours.

• y = 2x + 2

• y = 12x + 12

• y = 12x + 2

• y = 2x + 12

Which rate of change represents the following graph?

• 5 figurines on 1 shelf

• 0.5 figurines on 1 shelf

• 10 figurines on 1 shelf

• 40 figurines on 1 shelf