Equations of Lines: Writing and Graphing Techniques

This video tutorial by Mr. Backberg covers the basics of writing linear equations in slope-intercept form, y = mx + b. It explains how to identify the slope (m) and y-intercept (b) from equations, and demonstrates how to write equations from given points. The tutorial also covers writing equations for lines that are parallel or perpendicular to a given line, emphasizing the importance of understanding slope relationships.

What is the general form of the slope-intercept equation?

• y = m - bx

• y = m/x + b

• y = mx + b

• y = mx - b

In the equation y = 3x - 4, what is the slope?

• 3

• -4

• 4

• 0

How do you rearrange 3y = 4x + 6 to solve for y?

• y = 4x + 6/3

• y = 4x + 2

• y = 3/4x + 2

• y = 4/3x + 2

What is the slope of the line derived from points (-2, 5) and (1, 2)?

• -2

• 2

• 1

• -1

If a line passes through the point (1, 2) and has a slope of -1, what is the y-intercept?

• -1

• 1

• 3

• 2

What is the slope of a line parallel to y = 2x + 3?

• 1/2

• -2

• -1/2

• 2

Using the point (-1, 1), what is the y-intercept of the line parallel to y = 2x + 3?

• 0

• 2

• 3

• 1

What is the slope of a line perpendicular to y = -2x + 3?

• -2

• 2

• -1/2

• 1/2

For a line perpendicular to y = -2x + 3, passing through (2, 3), what is the y-intercept?

• 3

• 2

• 1

• 0

What is the correct form of the equation for a line perpendicular to y = -2x + 3 and passing through (2, 3)?

• y = 1/2x + 2

• y = 2x + 3

• y = -1/2x + 2

• y = -2x + 3