Converting Point-Slope to Slope-Intercept Form

The video tutorial explains how to convert equations from point-slope form to slope-intercept form. It begins with an introduction to the two forms and provides step-by-step examples, including handling fractional coefficients. Students are encouraged to practice with provided exercises, and the tutorial concludes with a more complex example involving fractions.

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

• y = mx + b

• y - y1 = m(x - x1)

• ax + by = c

• y = mx

In the slope-intercept form, what does 'b' represent?

• The x-intercept

• The y-intercept

• The slope of the line

• The point of origin

What is the first step in converting the equation y - 4 = -9(x + 4) to slope-intercept form?

• Multiply both sides by -9

• Distribute -9

• Add 4 to both sides

• Subtract 4 from both sides

After distributing -9 in the equation y - 4 = -9(x + 4), what is the next step?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by -9

• Divide both sides by -9

What is the result of converting y - 4 = -9(x + 4) to slope-intercept form?

• y = 9x + 32

• y = 9x - 32

• y = -9x - 32

• y = -9x + 32

When distributing a fraction like -4/3 in the equation y - 5 = -4/3(x + 3), what is the result?

• -4/3x - 4

• -4/3x + 4

• 4/3x - 4

• 4/3x + 4

What is the final form of the equation y - 5 = -4/3(x + 3) after converting to slope-intercept form?

• y = -4/3x + 1

• y = -4/3x - 1

• y = 4/3x + 1

• y = 4/3x - 1

In the equation y + 5 = -1/4(x - 4), what happens when you distribute -1/4?

• -1/4x + 1

• -1/4x - 1

• 1/4x + 1

• 1/4x - 1

What is the final form of the equation y + 5 = -1/4(x - 4) after converting to slope-intercept form?

• y = -1/4x - 4

• y = -1/4x + 4

• y = 1/4x - 4

• y = 1/4x + 4

When dealing with complex fractions like -5/7 in the equation y - 4 = -5/7(x + 2), what tool can be helpful?

• A ruler

• A calculator

• A protractor

• A graphing paper