Converting Standard Form to Slope-Intercept Form

Mrs. A explains how to convert line equations from standard form (ax + by + c = 0) to slope-intercept form (y = mx + b). She demonstrates the process using an example equation, showing how to isolate the y variable and rearrange terms. The video concludes with identifying the slope and y-intercept from the final equation, emphasizing the importance of these forms for graphing.

What is the standard form of a linear equation?

• y = mx + b

• x = my + b

• ax + by = c

• ax + by + c = 0

In the standard form of a linear equation, where are the x and y variables located?

• On opposite sides of the equal sign

• Only on the right side of the equal sign

• Only on the left side of the equal sign

• On the same side of the equal sign

What is the slope-intercept form of a linear equation?

• x = my + b

• y = mx + b

• ax + by + c = 0

• ax + by = c

What is the first step in converting a standard form equation to slope-intercept form?

• Divide by the coefficient of y

• Multiply both sides by the coefficient of x

• Add the constant term to both sides

• Move the x term to the other side of the equation

When isolating the y variable, what operation is used to move the x term to the other side?

• Subtraction

• Division

• Addition

• Multiplication

After moving the x term and the constant term, what is the next step to isolate y?

• Add the coefficient of y to both sides

• Subtract the coefficient of y from both sides

• Multiply both sides by the coefficient of y

• Divide both sides by the coefficient of y

What is the slope of the equation 3x + 2y - 5 = 0 after converting to slope-intercept form?

• 5/2

• -5/2

• -3/2

• 3/2

What is the y-intercept of the equation 3x + 2y - 5 = 0 after converting to slope-intercept form?

• -3/2

• 3/2

• -5/2

• 5/2

Why is it useful to leave the slope as a fraction?

• It makes the equation easier to read

• It simplifies the y-intercept

• It makes the graphing process faster

• It helps in identifying the rise and run

What is the final form of the equation 3x + 2y - 5 = 0 in slope-intercept form?

• y = 5/2x - 3/2

• y = -5/2x + 3/2

• y = 3/2x - 5/2

• y = -3/2x + 5/2