Converting Standard Form to Slope Intercept

This video tutorial from Mumu Math and Science explains how to convert an equation from standard form (ax + by = c) to slope-intercept form (y = mx + b). The process involves isolating the variable y by performing inverse operations, such as subtracting terms and dividing both sides of the equation. The tutorial provides a step-by-step example using the equation 8x + 2y = 12, resulting in the slope-intercept form y = -4x + 6, where -4 is the slope and 6 is the y-intercept.

What is the general form of a standard form equation?

• ax + by = m

• y = ax + b

• ax + by = c

• y = mx + b

In the slope-intercept form y = mx + b, what does 'm' represent?

• The constant term

• The y-intercept

• The x-intercept

• The slope

What is the first step in converting 8x + 2y = 12 to slope-intercept form?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 8x from both sides

• Add 8x to both sides

After subtracting 8x from both sides of 8x + 2y = 12, what is the resulting equation?

• 2y = -8x - 12

• 2y = 12 - 8x

• 2y = 12 + 8x

• 2y = 8x - 12

What operation is performed to isolate y in the equation 2y = 12 - 8x?

• Subtract 2 from both sides

• Multiply both sides by 2

• Add 2 to both sides

• Divide both sides by 2

What is the slope in the equation y = -4x + 6?

• 4

• -6

• -4

• 6