Converting Standard to Slope Intercept Form

Miss Elizondo guides students through converting equations from standard form to slope-intercept form. The lesson includes three examples, demonstrating step-by-step processes and different methods for conversion. Students are encouraged to prepare materials, take notes, and upload their work to Schoology. The video emphasizes understanding the differences between the forms and the importance of isolating the y variable.

What is the primary goal when converting from standard form to slope-intercept form?

• To eliminate all variables

• To isolate the x variable

• To combine like terms

• To isolate the y variable

What does the slope-intercept form of an equation look like?

• x = my + b

• y = bx + m

• y = mx + b

• Ax + By = C

In the equation 5x + 6y = -30, what is the first step to convert it into slope-intercept form?

• Add 6y to both sides

• Multiply everything by -1

• Divide everything by 5

• Subtract 5x from both sides

After subtracting 5x on both sides of the equation 5x + 6y = -30, what is the next step?

• Subtract 30 from both sides

• Add 30 to both sides

• Divide by 6

• Multiply by 6

What is the slope in the equation y = -5/6x - 5?

• 5/6

• -5

• -5/6

• 6

After converting an equation into slope-intercept form, what does 'b' represent?

• The slope

• The x-intercept

• The y-intercept

• The coefficient of x

In the equation -2x + 7y = 14, what operation do we perform to move -2x to the other side?

• Addition

• Division

• Subtraction

• Multiplication

What is the final form of the equation after converting -2x + 7y = 14 to slope-intercept form?

• y = 2/7x + 2

• y = -2x + 7

• y = -2/7x + 2

• y = 2/7x - 2

Why might we choose to reduce the coefficients in a standard form equation before converting it?

• To find the x-intercept

• To increase the equation's complexity

• To change the equation's slope

• To simplify the calculation

What is the result of dividing every term in the equation 2x + 4y = 12 by 2?

• 2x + y = 12

• 2x + 4y = 6

• x + 2y = 6

• x + y = 6