Adding and Subtracting Rational Expressions

The video tutorial covers the concept of point-slope form, explaining its formula and application. It demonstrates how to use point-slope form to find equations of lines given a point and a slope. The tutorial also explores how to use point-slope form to determine equations of parallel and perpendicular lines, including perpendicular bisectors. The instructor provides step-by-step examples and emphasizes the importance of practice in mastering these concepts.

What is the standard formula for point-slope form?

• Y = MX + B

• Y = MX - B

• Y - y1 = M(X - x1)

• Y = M(X - x1) + y1

In the formula Y - y1 = M(X - x1), what does 'M' represent?

• The midpoint

• The x-intercept

• The y-intercept

• The slope

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

• Y + 3 = 4(X + 2)

• Y - 2 = 4(X - 3)

• Y + 2 = 4(X + 3)

• Y - 3 = 4(X - 2)

How do you convert the point-slope form Y - y1 = M(X - x1) to slope-intercept form?

• Add y1 to both sides

• Subtract y1 from both sides

• Divide both sides by M

• Multiply both sides by x1

What is the slope-intercept form of the equation Y - 2 = 3(X - 1)?

• Y = 3X + 1

• Y = 3X - 1

• Y = 3X - 3

• Y = 3X + 3

Given two points (1, 2) and (3, 4), what is the slope of the line passing through them?

• 1

• 1/2

• 2

• 2/1

If you have two points, how do you find the slope?

• Subtract the y-values from the x-values

• Add the y-values and x-values

• Multiply the difference in y-values by the difference in x-values

• Divide the difference in y-values by the difference in x-values

What is the point-slope form equation for a line parallel to Y = 2X + 3 passing through (4, -1)?

• Y + 1 = 2(X - 4)

• Y - 1 = 2(X + 4)

• Y + 1 = 2(X + 4)

• Y - 1 = 2(X - 4)

What is the slope of a line perpendicular to a line with slope 3/4?

• 4/3

• -4/3

• 3/4

• -3/4

What is the equation of the perpendicular bisector of the segment joining (-1, 4) and (5, -2)?

• Y = X - 1

• Y = -X + 1

• Y = X + 1

• Y = -X - 1