Exploring Adding and Subtracting Rational Expressions

What are the two essential components needed to write an equation?

• Point and x-intercept

• Point and y-intercept

• Slope and x-intercept

• Slope and y-intercept

Which formula is used to find the slope (m) between two points?

• y = mx + b

• m = (y2 - y1) / (x2 - x1)

• y - y1 = m(x - x1)

• m = (x2 - x1) / (y2 - y1)

What is the point-slope form of an equation?

• y = mx + b

• y - y1 = m(x - x1)

• y = mx - b

• m = (y2 - y1) / (x2 - x1)

In the first example, what is the slope (m) calculated from the points (-1, 7) and (1, -1)?

• 2

• -2

• -1

• 1

After finding the slope, which point is chosen to use in the point-slope form in the first example?

• (0, 0)

• (3, 2)

• (1, -1)

• (-1, 7)

What is the final equation derived in the first example?

• y = -2x

• y = -2x - 6

• y = -2x - 5

• y = -2x + 7

In the second example, what is the slope (m) calculated from the points (3, -4) and (6, 7)?

• -3

• -1/3

• 3

• 1/3

Which point is chosen to use in the point-slope form in the second example?

• (6, 7)

• (3, -4)

• (0, 0)

• (1, 1)

What is the final equation derived in the second example?

• y = 1/3x + 7

• y = 1/3x - 2

• y = 1/3x - 5

• y = 1/3x + 2

What should you do after completing examples 3 and 4?

• Redo them

• Ignore them

• Check them with the teacher

• Submit them online