Exploring Slope-Intercept and Point-Slope Forms

The video tutorial covers unit eight, lesson three, focusing on slope-intercept and point-slope forms. It begins with an introduction to these forms, followed by a detailed explanation of the slope formula. The tutorial then demonstrates how to write equations in slope-intercept form using given points and slopes. It also covers point-slope form, providing examples and practice problems to reinforce understanding. The video concludes with a summary of the steps involved in solving equations using both forms.

What is the formula for calculating the slope between two points?

• m = (y1 - y2) / (x1 - x2)

• m = (x2 - x1) / (y2 - y1)

• m = (y2 - y1) / (x2 - x1)

• m = (x1 - x2) / (y1 - y2)

If the points are (3, -7) and (5, 1), what is the slope?

• 2

• -2

• -1

• 1

In the slope-intercept form y = mx + b, what does 'b' represent?

• The slope

• The origin

• The x-intercept

• The y-intercept

Given a slope of -4/3 and a point (3, -7), what is the y-intercept?

• -4

• 4

• 3

• -3

What is the point-slope form of a line?

• y = m(x - x1) + b

• y = m(x - y1) + b

• y - y1 = m(x - x1)

• y = mx + b

How can you convert the point-slope form y - y1 = m(x - x1) to slope-intercept form?

• Solve for y1

• Solve for m

• Solve for x

• Solve for y

Given the points (1, 3) and (8, 5), what is the slope?

• 7/2

• 2/7

• 7/1

• 1/7

Using the point (1, 3) and slope 2/7, what is the equation in point-slope form?

• y - 3 = 2/7(x - 1)

• y - 1 = 2/7(x - 3)

• y - 3 = 7/2(x - 1)

• y - 1 = 7/2(x - 3)

Given the points (2, 1) and (5, -2), what is the slope?

• 1

• -1

• -2

• 2

Using the slope -1 and y-intercept 3, what is the equation in slope-intercept form?

• y = 1x - 3

• y = -1x + 3

• y = -1x - 3

• y = 1x + 3