Exploring the Slope Formula and Its Applications

The video tutorial covers the slope formula, starting with a review and a basic example. It then progresses to using cross multiplication to find missing values when given a slope. The instructor demonstrates solving for x and y in equations using the slope formula, providing multiple examples and practice problems. The session concludes with a reminder to prepare for an upcoming quiz.

What is the slope formula used in algebra?

• x plus x over y plus y

• y + y over x + x

• y minus y over x minus x

• x minus x over y minus y

In the example given, what is the result of -2 minus -9?

• -11

• -7

• 11

• 7

When going backwards with the slope formula, what mathematical operation is primarily used?

• Division

• Cross multiplication

• Subtraction

• Addition

If the slope (m) is -4/5 and the equation is set up as -4/5 = (y - 6) / 10, what is the next step?

• Cross multiply

• Subtract 6 from both sides

• Divide by 10

• Add 6 to both sides

In the example where m = 2, what does the equation 2 = 8 / (x + 3) simplify to after cross multiplication?

• x - 3 = 4

• 2x - 6 = 8

• 2x + 6 = 8

• x + 3 = 4

What is the value of x when the equation 2x + 6 = 8 is solved?

• x = 2

• x = 3

• x = 4

• x = 1

In the example with m = -9/2, what does the equation -9/2 = (y + 4) / -2 simplify to after cross multiplication?

• 2y + 8 = 18

• y - 4 = 9

• 2y - 8 = 18

• y + 4 = 9

What is the value of y when the equation 2y + 8 = 18 is solved?

• y = 5

• y = 4

• y = 3

• y = 2

In the example with m = 3/4, what does the equation 3/4 = (y - 5) / 4 simplify to after cross multiplication?

• 4y - 20 = 12

• y - 5 = 3

• 4y + 20 = 12

• y + 5 = 3

What is the value of y when the equation 4y - 20 = 12 is solved?

• y = 8

• y = 9

• y = 7

• y = 6