Slope-Intercept Form and Linear Equations

This video tutorial on Algebra 1 focuses on writing linear equations in slope-intercept form. It covers examples of deriving equations from given slopes and y-intercepts, graphs, and two points. The tutorial includes guided practice and self-check exercises to reinforce learning. The main goal is to enable students to write linear equations by identifying slopes and y-intercepts.

What is the primary learning goal of this Algebra 1 episode?

• To solve quadratic equations

• To write a linear equation in slope-intercept form

• To understand polynomial functions

• To learn about geometric sequences

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

• The y-intercept

• The x-intercept

• The slope of the line

• The midpoint of the line

If a line has a slope of 4 and a y-intercept of -2, what is its equation?

• y = -4x - 2

• y = -4x + 2

• y = 4x - 2

• y = 4x + 2

How can you determine the slope from a graph?

• By measuring the angle with the x-axis

• By calculating rise over run between two points

• By counting the number of grid squares

• By finding the x-intercept

What is the slope of a line that goes down 3 units and over 4 units?

• 4/3

• -3/4

• 3/4

• -4/3

Given two points (0, 6) and (6, 3), what is the slope of the line?

• 1/2

• -2

• -1/2

• 2

What is the equation of a line with a slope of -1/2 and a y-intercept of 6?

• y = -1/2x + 6

• y = 1/2x + 6

• y = -1/2x - 6

• y = 1/2x - 6

What is the slope of a horizontal line?

• Undefined

• Zero

• Positive

• Negative

If a line has a rise of zero, what type of line is it?

• Vertical

• Curved

• Horizontal

• Diagonal

What is the equation of a horizontal line passing through y = -3?

• y = 3

• y = -3

• x = 3

• x = -3