Point Slope Form Equation Word

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

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

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)

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)

Write the Equation in POINT SLOPE Form Point (1, -3) m = -2

• y - 3 = -2(x + 1)

• y + 3 = -2(x - 1)

• y - 1 = 2(x +3)

• y + 1 = -2(x - 3)

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

y-y_1=m\left(x-x_1\right)

a

b

c

y-coordinte of point

slope

x-coordinate of point

a

b

c

x-coordinate of point

y-coordinte of point

slope

Write the equation of the line that goes through the point (1, 4) and has slope of 6.

• y=-6x+11

• y=-6x-3

• y=6x-2

• y=6x-4

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)