Understanding Slope and Y-Intercept

This video tutorial explains how to find the slope and Y-intercept from a linear equation. It covers the slope-intercept form, provides examples, and discusses special cases like horizontal and vertical lines. The video also demonstrates how to convert equations from standard form to slope-intercept form.

What does the 'm' represent in the slope-intercept form of a linear equation?

• The constant term

• The y-intercept

• The slope

• The x-coordinate

In the equation y = 3/4x - 5, what is the y-intercept?

• 3/4

• -5

• 0

• 5

How can you rewrite the equation y = 8 - 4x to identify the slope?

• y = 8x - 4

• y = -4x + 8

• y = 4x - 8

• y = -8x + 4

What is the slope of a horizontal line?

• Negative

• Zero

• Undefined

• Positive

For a vertical line, what is the slope?

• Zero

• Positive

• Negative

• Undefined

What is the y-intercept of the line y = 3?

• Undefined

• 4

• 3

• 0

How do you convert a standard form equation to slope-intercept form?

• Add the y-coefficient to both sides

• Solve for y

• Solve for x

• Multiply by the x-coefficient

In the equation 3x - 5y = 8, what is the slope after converting to slope-intercept form?

• 5/3

• -3/5

• 3/5

• -5/3

What is the y-intercept of the equation y = 2/3x + 4/3?

• 2/3

• 4/3

• 0

• Undefined

When dealing with fractions in standard form, what is a useful first step?

• Divide by the numerator

• Subtract fractions

• Multiply by the denominator

• Add fractions directly