Converting Point-Slope to Slope-Intercept and Standard Forms

This video tutorial from Education Lifeline explains how to convert equations from point-slope form to both slope-intercept form and standard form. It begins with an introduction and a recommendation to watch previous videos for foundational understanding. The tutorial then provides a step-by-step guide to converting an equation to slope-intercept form by distributing and combining like terms. It continues with instructions for converting to standard form, emphasizing the removal of fractions and rearranging terms. The video concludes with a call to action for viewers to like, subscribe, and explore additional resources.

What is the first step in converting an equation from point-slope form to slope-intercept form?

• Isolate the y variable

• Convert constants to fractions

• Combine like terms

• Distribute the slope (m)

When converting y - 4 = 1/2(x + 3) to slope-intercept form, what do you get after distributing 1/2?

• 1/2x + 3/2

• 1/2x + 4

• x + 3

• 2x + 6

How do you convert the constant 4 into a fraction to combine like terms?

• 4/2

• 2/4

• 4/1

• 8/2

What is the final slope-intercept form of the equation y - 4 = 1/2(x + 3)?

• y = 1/2x + 3

• y = 2x + 6

• y = 1/2x + 11/2

• y = x + 11

What is one method to convert an equation from point-slope form to standard form?

• Using the equation in factored form

• Using the equation in vertex form

• Using the equation in slope-intercept form

• Using the quadratic formula

What do you multiply both sides by to eliminate the fraction in the equation y - 4 = 1/2(x + 3)?

• 2

• 1

• 1/2

• 4

After multiplying both sides by 2, what is the resulting equation?

• 2y - 4 = x + 6

• 2y - 8 = x + 3

• y - 8 = 2x + 6

• 2y - 8 = 2x + 6

What is the next step after obtaining 2y - 8 = x + 3 to convert to standard form?

• Add x to both sides

• Add 8 to both sides

• Subtract 3 from both sides

• Subtract x from both sides

What is the standard form of the equation after ensuring the x coefficient is positive?

• 2y - x = 11

• x - 2y = 11

• x + 2y = 11

• x - 2y = -11

What should you do if the a value in standard form is negative?

• Add 1 to both sides

• Subtract 1 from both sides

• Multiply both sides by -1

• Divide both sides by -1