Converting Point Slope to Standard Form

What is the general form of the slope-intercept equation?

• y - y1 = m(x - x1)

• y = mx + b

• ax + by = c

• x = my + b

In point-slope form, what do x1 and y1 represent?

• The slope

• A point on the line

• The x-intercept

• The y-intercept

Which of the following is a requirement for the standard form of a linear equation?

• The equation must be in the form y = mx + b

• The equation must include fractions

• The coefficient of x must be a positive integer

• The coefficient of y must be zero

What is the first step in converting the equation y - 7 = 2/5(x + 3) to standard form?

• Subtract 3 from x

• Distribute the 2/5

• Multiply everything by 5

• Add 7 to both sides

After distributing and moving terms, what is the next step in converting y - 7 = 2/5(x + 3) to standard form?

• Add 35 to both sides

• Divide by 2

• Subtract 6 from both sides

• Multiply by -1

What is the final standard form of the equation y - 7 = 2/5(x + 3)?

• 2x + 5y = 41

• 2x - 5y = -41

• 5x - 2y = -41

• 5x + 2y = 41

In the practice problem y + 3 = 3/2(x - 4), what should you multiply everything by to eliminate the fraction?

• 3

• 3/2

• 2

• 1/2

After distributing and moving terms in the practice problem, what is the next step?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply by -1

• Divide by 2

What is the final standard form of the practice problem y + 3 = 3/2(x - 4)?

• 3x - 2y = 18

• 2x - 3y = 18

• 3x + 2y = 18

• 2x + 3y = 18

What is the purpose of converting point-slope form to standard form?

• To find the y-intercept

• To find the slope

• To eliminate fractions and decimals

• To make the equation easier to graph