Solving for 'y' in Slope-Intercept Form

In this algebra tutorial, Mr. Guy Love demonstrates how to solve equations for y to express them in slope-intercept form. The video covers two examples: first, solving 5x - 3y = 12, and then tackling a more complex equation, 6x - 3y = 5x + 2y + 7. The tutorial explains each step in detail, including combining like terms and isolating y, and highlights the importance of understanding slope and y-intercept in the context of y = mx + b form.

What is the first step in solving the equation 5x - 3y = 12 for y?

• Add 5x to both sides

• Subtract 5x from both sides

• Multiply both sides by 3

• Divide both sides by 5

After subtracting 5x from both sides of the equation 5x - 3y = 12, what is the next step?

• Divide by -3

• Multiply by -3

• Subtract 12 from both sides

• Add 12 to both sides

What is the slope of the equation y = (5/3)x - 4?

• 3/5

• 5/3

• -4

• 4

What is the y-intercept of the equation y = (5/3)x - 4?

• 5/3

• -4

• 4

• -5/3

What form is the equation y = mx + b known as?

• Standard form

• Quadratic form

• Slope-intercept form

• Point-slope form

In the equation y = mx + b, what does 'b' represent?

• X-intercept

• Slope

• Coefficient of x

• Y-intercept

What should be done first to solve the equation 6x - 3y = 5x + 2y + 7 for y?

• Add 7 to both sides

• Subtract 2y from both sides

• Move 6x to the other side

• Combine like terms

After moving 6x to the other side in the equation 6x - 3y = 5x + 2y + 7, what is the next step?

• Multiply by -5

• Divide by -5

• Subtract 2y from both sides

• Add 7 to both sides

What is the slope of the equation y = (1/5)x - 7/5?

• -1/5

• 5

• -7/5

• 1/5

What is the y-intercept of the equation y = (1/5)x - 7/5?

• -1/5

• 1/5

• -7/5

• 5