Exploring Standard Form of Linear Equations

The video tutorial covers linear equations, focusing on point slope, slope intercept, and standard forms. It explains the rules for standard form, including integer coefficients and positive x terms. The tutorial demonstrates graphing techniques using intercepts and provides methods for solving equations to find x and y intercepts. It also covers converting equations to standard form, ensuring all coefficients are integers and the x term is positive.

Which form of a linear equation allows you to identify both a point and the slope?

• Quadratic Form

• Standard Form

• Point-Slope Form

• Slope-Intercept Form

Which form of a linear equation allows you to easily identify the y-intercept?

• Standard Form

• Slope-Intercept Form

• Point-Slope Form

• Quadratic Form

In the standard form of a linear equation, what must be true about the coefficients a, b, and c?

• They must be negative.

• They must be integers.

• They must be positive.

• They must be fractions.

What is the greatest common factor (GCF) requirement for the coefficients in standard form?

• GCF must be greater than 1

• GCF must be a fraction

• GCF must be less than 1

• GCF must be equal to 1

What is the slope of a horizontal line?

• Undefined

• Negative

• Zero

• Positive

What is the slope of a vertical line?

• Negative

• Positive

• Undefined

• Zero

When finding the x-intercept of a linear equation, what value must y be?

• 1

• Any negative number

• Any positive number

• 0

When finding the y-intercept of a linear equation, what value must x be?

• Any negative number

• Any positive number

• 0

• 1

If an equation is in standard form, what must be true about the coefficient of x?

• It must be positive.

• It must be zero.

• It must be a fraction.

• It must be negative.

To convert an equation to standard form, what must you ensure about the coefficients?

• They must be negative.

• They must be positive.

• They must be integers.

• They must be fractions.