Converting Standard Form to Slope-Intercept Form

What is the standard form of a linear equation?

• ax + by = 0

• y = ax + b

• ax + by = c

• y = mx + b

In the equation 8x + y = 9, what is the first step to convert it to slope-intercept form?

• Divide both sides by 8

• Subtract 8x from both sides

• Add 8x to both sides

• Subtract 9 from both sides

After moving the x-term in the equation 8x + y = 9, what is the resulting equation?

• y = -8x + 9

• y = 8x + 9

• y = 9 - 8x

• y = 9 + 8x

How do you handle a negative coefficient of y in the equation 2x - y = 10?

• Multiply the entire equation by -1

• Divide the entire equation by -1

• Subtract y from both sides

• Add y to both sides

What is the slope-intercept form of the equation 2x - y = 10?

• y = -2x + 10

• y = 2x + 10

• y = -2x - 10

• y = 2x - 10

In the equation 4x + 2y = 16, what is the next step after subtracting 4x from both sides?

• Divide both sides by 2

• Subtract 2y from both sides

• Multiply both sides by 2

• Add 4x to both sides

What is the slope-intercept form of the equation 4x + 2y = 16?

• y = -2x - 8

• y = 2x + 8

• y = -2x + 8

• y = 2x - 8

How do you handle fractions in the slope-intercept form of the equation 2x - 10y = -50?

• Convert to decimals

• Leave as improper fractions

• Convert to mixed numbers

• Ignore the fractions

What is the slope-intercept form of the equation 2x - 10y = -50?

• y = 1/5x + 5

• y = -1/5x - 5

• y = -1/5x + 5

• y = 1/5x - 5

Why is it important to convert equations to slope-intercept form?

• To solve for x

• To eliminate fractions

• To identify the slope and y-intercept

• To make the equation easier to read