Linear Equations and Their Components

The video tutorial covers writing linear equations in slope-intercept form, y = mx + b. It explains the components of the equation, with m as the slope and b as the y-intercept. The tutorial provides examples of writing equations from given values and interpreting graphs to find the slope and y-intercept. It also discusses real-life applications of linear models and concludes with practice questions for students.

What is the formula for the slope-intercept form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

In the equation y = mx + b, what does 'm' represent?

• The x-intercept

• The slope

• The constant term

• The y-intercept

If a line has a slope of -2 and a y-intercept of 3, what is its equation?

• y = -2x + 3

• y = 2x - 3

• y = -3x + 2

• y = 3x - 2

What is the y-intercept of a line that crosses the y-axis at (0, -4)?

• -2

• 0

• 4

• -4

How do you calculate the slope from a graph?

• Run over rise

• Sum of x and y

• Difference of x and y

• Rise over run

What is the simplified slope if a line rises 4 units and runs 2 units?

• 2

• 4

• 3

• 1

In a real-life linear model, what does 'm' typically represent?

• Initial amount

• Rate of change

• Final value

• Constant term

In a real-life linear model, what does 'b' typically represent?

• Initial amount

• Slope

• Final value

• Rate of change

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

• y = 2x + 1

• y = 2x - 1

• y = x + 2

• y = x - 2

What is the first step in writing the equation of a line from a graph?

• Find the y-intercept

• Calculate the area under the line

• Determine the midpoint

• Find the x-intercept