Point Slope Word Problems

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

What is the average rate of change?

What is a point-slope equation for the climber?

• 200 ; y - 700 = 200(x - 6)

• 75 ; y - 6 = 75(x - 700)

• 300 ; y - 700 = 300(x - 6)

• 75 ; y - 700 = 75(x - 6)

At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.

• y - 0 = 2(x - 10)

  y - 5 = 2(x - 20)

• y - 0 = 5(x - 10)

  y - 5 = 5(x- 20)

• y - 10 = 2(x - 0)

  y - 20 = 2(x -5)

• y - 10 = 6(x - 0)

  y - 20 = 6(x - 5)

11. Which of the following is NOT true about the graph of the line
y + 4 = -5(x - 1)

• It goes through the point (-4, 1)
• It has a slope of -5
• The equation is in point-slope form
• It goes through the point (4, -1)

Find the rate of change.

Then write the point-slope equation.

• -2 minutes per gallon

  y - 80 = -2 (x - 10)

• -20 minutes per gallon

  y - 80 = -20 (x - 10)

• -2 gallons per minute

  y -80 = -2 (x - 10)

• -20 gallons per minute

  y - 80 = -20 (x - 10)

Write the equation of the line shown in point slope form.

• y - 7 = 3/4 (x - 0)
• y - 0 = -3/4 (x - 7)
• y + 4 = -3/4 (x + 4)
• y - 4 = -3/4 (x - 4)

Violet has an Internet business selling paint sets.  After an initial website fee each week, she makes a profit of $0.75 on each set she sells.  If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)
• y - 8 = 0.75(x - 2.25)
• y - 8 = 2.25(x - 0.75)
• y - 0.75 = 2.25(x - 8)