Converting Point-Slope to Slope-Intercept Form

This video tutorial covers the point-slope form of linear equations, demonstrating how to write equations given a point and a slope, and how to convert these equations into slope-intercept form. The instructor provides two examples, guiding viewers through the process of labeling points, substituting values, and simplifying equations. The video concludes with an exercise for viewers to practice on their own.

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

• y = mx

• ax + by = c

• y - y1 = m(x - x1)

• y = mx + b

In the point-slope form equation y - y1 = m(x - x1), what does 'm' represent?

• The slope

• The constant term

• The y-intercept

• The x-intercept

Given the point (-8, -1) and slope -3/4, what is the equation in point-slope form?

• y + 1 = -3/4(x + 8)

• y - 1 = 3/4(x - 8)

• y - 1 = -3/4(x - 8)

• y + 1 = 3/4(x + 8)

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

• Subtract the y-intercept

• Distribute the slope across the parentheses

• Add the slope to both sides

• Multiply both sides by x

What is the slope-intercept form of the equation y + 1 = -3/4(x + 8)?

• y = -3/4x + 7

• y = -3/4x - 7

• y = 3/4x + 7

• y = 3/4x - 7

Given the point (4, 3) and slope -1, what is the equation in point-slope form?

• y - 3 = 1(x - 4)

• y + 3 = 1(x + 4)

• y + 3 = -1(x + 4)

• y - 3 = -1(x - 4)

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

• y = -x + 1

• y = x - 1

• y = x + 1

• y = -x - 1

What should you do if you encounter a double negative in the point-slope form equation?

• Multiply the negatives

• Subtract the negatives

• Change it to a positive

• Leave it as is

What is the first step in solving the practice problem on your own?

• Identify the given point and slope

• Write the equation in slope-intercept form

• Distribute the slope

• Subtract the y-intercept

What should you do after writing the equation in point-slope form in the practice problem?

• Multiply both sides by x

• Convert it to slope-intercept form

• Check for double negatives

• Identify the x-intercept