Exploring Linear Equations and Their Components

The video tutorial covers linear equations, focusing on their standard form, characteristics, and how to identify them. It explains graphing methods, including using tables and intercepts, and discusses the concept of slope, including positive, negative, zero, and undefined slopes. The tutorial also provides examples of calculating slope using rise over run and the formula for slope.

What is the shape of the graph of a linear equation?

• A curve

• A straight line

• A circle

• A parabola

In standard form, what should be the nature of the coefficients a, b, and c?

• They can be fractions or decimals

• They must be integers

• They must be negative

• They must be positive

How can you eliminate a negative coefficient in front of x in a standard form equation?

• Multiply the entire equation by -1

• Add 1 to the equation

• Subtract 1 from the equation

• Divide the entire equation by -1

What does it mean if an equation can be written in the form ax + by = c?

• It is a quadratic equation

• It is a linear equation

• It is a cubic equation

• It is a polynomial equation

Which method involves picking any numbers for x and substituting them into the equation to find y?

• Graphing by x and y intercepts

• Graphing by slope-intercept form

• Graphing by substitution

• Graphing by table

What is the x-intercept of the equation 2x - y = 6?

• 0

• 3

• 6

• 2

What is the slope of a line that is horizontal?

• Zero

• Undefined

• Positive

• Negative

How do you calculate the slope using the coordinates of two points?

• Multiply the x-values and y-values

• Divide the difference of the y-values by the difference of the x-values

• Add the x-values and y-values

• Subtract the x-values from the y-values

What is the slope of a line that passes through the points (3, 2) and (7, 6)?

• 4

• 2

• 1

• 1/2

What does it mean if the slope of a line is undefined?

• The line is curved

• The line is horizontal

• The line is vertical

• The line is diagonal