2-2 & 2-3 Quiz

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

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b
• y=kx

m=6

(2, 7)

• y - 7 = 2( x - 6)

• y - 7 = 6( x - 2)

• y - 7 = 6( x + 2)

• y - 7 = 3( x - 6)

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

• y + 1 = -3(x - 2)

• y + 1 = -3(x + 2)

• y - 1 = 3(x - 1)

• y + 2 = -3(x + 1)

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After 10 minutes, there was 80 gallons of water left in the pool. After 20 minutes, there was 60 gallons of water left.

Write an equation in point-slope form.

• y + 80 = -2(x + 10)

• y - 80 = -20(x - 10)

• y - 80 = -2(x - 10)

• y - 80 = -20(x - 10)

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 a point-slope equation for the climber?

• y - 700 = 200(x - 6)

• y - 6 = 75(x - 700)

• y - 700 = 300(x - 6)

• y - 700 = 75(x - 6)

Give the x-intercept

3x + 8y = 24

• x = 8

• x = 0

• x = 3

• x = 24

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

^{What is the x- intercept of the line?}

• x = 1

• x = 2

• x = -1

• x = -2

Use the x-intercept and the y-intercept to graph the line.

3x+4y=-12