Exploring Linear Equations Concepts

This video tutorial provides a comprehensive review of writing and graphing linear equations. It covers the basics of linear equations, including their forms and how to graph them. The tutorial explains the concepts of slope and y-intercept, and demonstrates how to write equations from graphs and tables. Special cases such as horizontal and vertical lines are also discussed, providing a complete understanding of linear equations.

What does a linear equation graph look like?

• A parabola

• A circle

• A line

• A curve

Which form represents a linear equation?

• y = log(x)

• y = a/x

• y = ax^2 + bx + c

• y = mx + b

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

• The constant term

• The x-intercept

• The slope

• The y-intercept

How do you find the y-intercept from a graph?

• The lowest point on the graph

• The highest point on the graph

• Where the line crosses the y-axis

• Where the line crosses the x-axis

If a line has a slope of 1/2 and a y-intercept of 3, what is its equation?

• y = 3x + 2

• y = 3x + 1/2

• y = 1/2x + 3

• y = 2x + 3

What is the slope of a line that rises 6 units and runs 1 unit?

• -6

• 6

• -1/6

• 1/6

How do you determine if a table of values represents a linear function?

• By checking if the x-values are all positive

• By checking if the x-values are all negative

• By checking if the y-values are all positive

• By checking if the rate of change is constant

What is the equation of a line with a slope of -2 and passing through the point (4, 0)?

• y = -2x + 8

• y = -2x - 8

• y = 2x - 8

• y = 2x + 8

What is the equation of a horizontal line passing through y = 5?

• x = 5

• y = 0

• y = 5

• x = 0

What is the equation of a vertical line passing through x = -3?

• y = -3

• x = 0

• x = -3

• y = 0