Exploring Point Slope Form with Two Points

What does a slope of 2 indicate in terms of movement on a graph?

• For every 2 units right, go up 1 unit

• For every 1 unit right, go up 2 units

• For every 2 units up, go right 1 unit

• For every 1 unit up, go right 2 units

If you have a point (3, 5) and a slope of 2, what is the y-coordinate when x is 5?

• 8

• 7

• 10

• 9

What is the general form of the point-slope equation?

• y = mx + b

• y = mx - y1

• y - y1 = m(x - x1)

• y = m(x - x1) + y1

Given points (2, 5) and (3, 7), what is the slope of the line connecting them?

• 4

• 2

• 1

• 3

Using the point (2, 5) and a slope of 2, what is the point-slope form of the equation?

• y - 2 = 2(x + 5)

• y - 5 = 2(x + 2)

• y - 5 = 2(x - 2)

• y - 2 = 2(x - 5)

What is the slope of the line connecting points (-1, 4) and (5, -5)?

• -2/3

• 3/2

• 2/3

• -3/2

For the points (-1, 4) and (5, -5), what is the point-slope form using point (-1, 4)?

• y + 4 = -3/2(x - 1)

• y - 4 = -3/2(x + 1)

• y + 4 = -3/2(x + 1)

• y - 4 = -3/2(x - 1)

What is the equation of a vertical line passing through the point (5, 1)?

• y = 1

• x = 5

• y = 5

• x = 1

What is the equation of a horizontal line passing through the point (5, -2)?

• x = -2

• y = 5

• y = -2

• x = 5

When dealing with vertical lines, what is a key characteristic?

• They have a slope of 0

• They have no x-intercept

• They have a y-intercept

• They have no y-intercept