Point Slope Formula 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)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.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)

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)

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

• y - 22.50 = 7.50(x - 3)

• y - 52.50 = 7.50(x - 7)

• y = 7.50x

• y + 22.50 = 7.50(x + 3)

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)

Tags

CCSS.HSF-LE.A.1B

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

What does "m" represent in y - y₁ = m(x - x₁)?

• y-intercept

• slope

• macaroni

• nothing

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

• y-5=-3(x-10)

• y=-3x+35

• y+5=-3(x+10)

• y=-3x-35

For the equation 
y - 4 = -1/3(x - 7), 
what are the coordinates for the point?

• (4, 7)

• (-7, - 4)

• (7, 4)

• (-4, -7)

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3