Point-Slope Formula and Slope Concepts

The video tutorial explains how to find and use the point-slope formula when given two points. It begins with a review of the formula, followed by a step-by-step guide to calculating the slope. The tutorial demonstrates how to apply the point-slope formula using chosen points and verifies the results with different points to show consistency. The video concludes by highlighting the benefits of using the point-slope formula to easily convert to slope-intercept form.

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

• Y = M(X - A) + B

• Y - A = M(X - B)

• Y - B = M(X - A)

• Y = MX + B

What is the first step in finding the slope between two points?

• Subtract the Y coordinates

• Divide the X coordinates

• Multiply the X and Y coordinates

• Add the X coordinates

If the coordinates of two points are (4, 9) and (6, 1), what is the slope?

• 2

• -2

• 4

• -4

In the point-slope formula, what do 'a' and 'b' represent?

• The Y-intercept

• The slope

• The X-intercept

• A regular point on the line

Which point is used in the example to substitute into the point-slope formula?

• (1, 6)

• (0, 0)

• (6, 1)

• (4, 9)

What is the result of distributing -4 in the equation Y - 1 = -4(X - 6)?

• -4X + 24

• 4X - 24

• -4X - 24

• 4X + 24

What is the final equation after solving Y - 1 = -4(X - 6)?

• Y = -4X + 24

• Y = -4X + 25

• Y = 4X - 25

• Y = 4X + 25

What happens when you use the point (4, 9) instead of (6, 1) in the point-slope formula?

• The equation changes

• The slope changes

• The equation remains the same

• The Y-intercept changes

What is the Y-intercept when using the point (4, 9) in the point-slope formula?

• 9

• 25

• 24

• 16

Why is the point-slope formula useful?

• It helps find the Y-intercept

• It helps find the equation in slope-intercept form

• It helps find the slope

• It helps find the X-intercept