Solving for y: A Comprehensive Guide

The video tutorial explains how to find the slope and y-intercept from a linear equation by solving for y to achieve the y = mx + b format. It introduces the solving square method, demonstrates distributing and grouping terms, and provides two example problems to illustrate the process. The tutorial emphasizes isolating y and identifying the slope and y-intercept from the equation.

What is the first step in finding the slope and y-intercept from a linear equation?

• Combine like terms

• Distribute the constants

• Solve for y

• Solve for x

What method is used to isolate y in the equation?

• Solving square method

• Quadratic formula

• Factoring

• Completing the square

When using the solving square method, where should the y terms be placed?

• In the middle

• On the left side

• On both sides

• On the right side

What do you do after grouping the y terms on one side and everything else on the other?

• Add the constants

• Multiply by the coefficient of y

• Subtract the constants

• Divide by the coefficient of y

In the equation -3y = -8x + 15, what is the next step to isolate y?

• Add 3 to both sides

• Divide by -3

• Multiply by -3

• Subtract 15 from both sides

What is the slope in the equation y = 8/3x - 5?

• 8

• 3

• -5

• 8/3

In the example problem, what is the first step after writing y + 5 = -2(x - 5)?

• Combine like terms

• Distribute -2

• Add 5 to both sides

• Divide by -2

After distributing -2 in the example problem, what is the next step?

• Divide by the coefficient of y

• Add the constants

• Move the constant to the other side

• Combine like terms

What is the y-intercept in the equation y = -2x + 5?

• -5

• 5

• -2

• 2

What is the final format of the equation after using the solving square method?

• x = my + b

• y = ax^2 + bx + c

• ax + by = c

• y = mx + b