Finding Slope and Rate of Change from an Equation

This video tutorial covers Unit 3a, focusing on finding the slope and rate of change from equations. It explains how to determine the slope from different forms of linear equations: slope-intercept form, point-slope form, and standard form. The tutorial provides examples and step-by-step instructions on identifying the slope in each form, emphasizing the importance of recognizing the equation's structure. The video concludes with a demonstration of converting standard form equations to slope-intercept form to find the slope.

What is the main focus of Unit 3a?

• Finding the slope and rate of change from two points

• Finding the slope and rate of change from a graph

• Finding the slope and rate of change from a table

• Finding the slope and rate of change from an equation

In the slope-intercept form of a linear equation, what does the 'm' represent?

• The slope

• The constant term

• The x-intercept

• The y-intercept

Given the equation y = -1/3x + 2, what is the slope?

• -1/3

• -2

• 2

• 1/3

In the equation y = 5 - 3x, what is the slope?

• -3

• -5

• 5

• 3

What form is the equation y - 2 = 1/2(x - 4) written in?

• Slope-intercept form

• Point-slope form

• Standard form

• Quadratic form

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

• The slope

• The constant term

• The x-intercept

• The y-intercept

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

• 3

• -3

• 1/2

• -1/2

Which form has both x and y terms on the same side of the equation?

• Slope-intercept form

• Quadratic form

• Point-slope form

• Standard form

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

• Multiply by the coefficient of x

• Subtract the x term from both sides

• Divide by the coefficient of y

• Add the y term to both sides

After converting the equation 3x + 2y = 7 to slope-intercept form, what is the slope?

• -3/2

• -2/3

• 2/3

• 3/2