Exploring Point-Slope Form Concepts

Which of the following is the correct point-slope form of a linear equation?

• y = mx + b

• Ax + By = C

• y = m(x - x1) + b

• y - y1 = m(x - x1)

In the point-slope form equation y - y1 = m(x - x1), what does 'm' represent?

• The y-intercept

• The slope of the line

• The x-intercept

• A constant

Given a slope of 4 and a point (-2, 3), what is the point-slope form of the equation?

• y + 3 = 4(x + 2)

• y - 3 = 4(x + 2)

• y + 3 = 4(x - 2)

• y - 3 = 4(x - 2)

If the equation is y + 4 = 6(x - 2), what is the slope?

• 4

• 2

• 6

• -4

In the equation y + 4 = 6(x - 2), what is one point on the line?

• (-2, 4)

• (2, -4)

• (-4, 2)

• (4, 2)

Given points (4, 1) and (-4, -2), what is the slope of the line passing through these points?

• 2/3

• 1/4

• 3/8

• 1/2

Using the points (4, 1) and (-4, -2), what is the point-slope form of the equation?

• y - 1 = 1/4(x + 4)

• y + 1 = 1/4(x - 4)

• y + 2 = 1/4(x - 4)

• y - 2 = 1/4(x + 4)

If it costs $4.05 for 15 minutes and $5.80 for 40 minutes to surf the internet, what is the cost per minute?

• 0.05

• 0.07

• 0.12

• 0.10

What is the linear equation to model the cost of surfing the internet given the points (15, 4.05) and (40, 5.80)?

• y + 4.05 = 0.07(x - 15)

• y + 5.80 = 0.07(x - 40)

• y - 5.80 = 0.07(x - 40)

• y - 4.05 = 0.07(x - 15)

What does the y-intercept represent in the context of the internet surfing cost problem?

• The total cost

• The initial flat fee

• The time spent

• The cost per minute