Understanding Equations of a Line

The video tutorial explains how to write equations of a line in slope-intercept form given a slope and a point. It covers several examples, demonstrating how to solve for the y-intercept (b) and write the equation. The tutorial also explains the characteristics of horizontal lines with a slope of zero and vertical lines with an undefined slope, providing examples for each case.

What is the first step in writing an equation in slope-intercept form when given a slope and a point?

• Determine the line's length

• Calculate the midpoint

• Identify the slope and point

• Find the x-intercept

In the example with a slope of -2, what is the y-intercept when the line passes through (-1, -6)?

• 0

• -6

• -8

• 2

How do you find the y-intercept when given a slope and a point?

• Multiply the slope by the y-coordinate

• Add the slope to the y-coordinate

• Subtract the product of the slope and x-coordinate from the y-coordinate

• Divide the slope by the x-coordinate

What is the equation of a line with a slope of 1 passing through the point (-3, 2)?

• y = x + 5

• y = -x - 5

• y = x - 5

• y = -x + 5

When the slope is zero, what form does the equation of the line take?

• x equals a number

• y equals zero

• x equals zero

• y equals a number

What is the equation of a horizontal line passing through the point (1, 2)?

• y = 2

• x = 1

• y = 1

• x = 2

What is the equation of a vertical line with an undefined slope passing through (7, 3)?

• y = 3

• x = 3

• y = 7

• x = 7

How are vertical lines represented in terms of their equation?

• y equals a number

• x equals a number

• y equals zero

• x equals zero

Why can't a vertical line be expressed in slope-intercept form?

• Because it has no x-intercept

• Because it has no y-intercept

• Because its slope is zero

• Because its slope is undefined

What should you remember about the equation of a line when the slope is zero?

• It is a horizontal line

• It is a diagonal line

• It is a vertical line

• It is a curved line