Writing Equations from Two Points Using Slope-Intercept Form

This video tutorial teaches how to write an equation of a line in slope-intercept form given two points. It covers finding the slope using a formula, substituting values into the slope-intercept form, and solving for the y-intercept. The tutorial includes two example problems and provides helpful tips for common pitfalls. The video concludes with a summary and encourages viewers to review the material if needed.

What is the first step in writing an equation for a line given two points?

• Determine the slope

• Identify the x-intercept

• Find the y-intercept

• Substitute values into the equation

What formula is used to find the slope of a line?

• b = y - mx

• y = mx + b

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

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

• The y-intercept

• The x-intercept

• The slope

• The equation

How do you find the y-intercept 'b' in the equation?

• Use any point to solve for 'b'

• Add the slope to y

• Substitute the slope for 'm'

• Multiply the slope by x

What does the equation 'y = 3x - 2' imply about the slope and y-intercept?

• Slope is -3, y-intercept is 2

• Slope is 3, y-intercept is -2

• Slope is -2, y-intercept is 3

• Slope is 2, y-intercept is -3

What is the equation derived from the points (-1, 7) and (2, -5)?

• y = -4x - 3

• y = -4x + 3

• y = 4x - 3

• y = 4x + 3

When given a point where x is 0, what does this represent?

• The equation

• The y-intercept

• The x-intercept

• The slope

What happens if the y-values of two points are the same?

• The line is vertical

• The slope is 1

• The slope is 0

• The slope is undefined

How should you enter a negative y-intercept in an electronic format where the minus sign is already provided?

• As zero

• Leave it blank

• As a negative number

• As a positive number

What is the correct way to write an equation for a horizontal line passing through y = 6?

• x = 0y + 6

• x = 6

• y = 6

• y = 0x + 6