Writing Linear Equations in Standard Form

Mr. Witt from Fort Bend Tutoring explains how to write linear equations in standard form. The tutorial covers the standard form equation, its conditions, and how to convert from slope-intercept and point-slope forms. Examples demonstrate converting equations and finding parallel and perpendicular lines. The video concludes with a request for feedback and subscription.

What is the general representation of a linear equation in standard form?

• ax^2 + bx + c = 0

• y = mx + b

• ax + by = c

• y - y1 = m(x - x1)

Which of the following is NOT a condition for a linear equation to be in standard form?

• No fractions or decimals in the equation

• The 'a' coefficient must be positive

• The GCF of coefficients should be greater than 1

• Coefficients must be integers

In the standard form of a linear equation, what must be true about the 'a' coefficient?

• It can be any real number

• It must be a negative integer

• It must be positive or zero

• It must be a fraction

How do you convert the equation y = mx + b to standard form?

• Add 'mx' to both sides

• Multiply both sides by 'm'

• Subtract 'mx' from both sides

• Subtract 'b' from both sides

What is the first step in converting y - 3 = 2(x - 1) to standard form?

• Subtract 2 from both sides

• Distribute 2 on the right side

• Add 3 to both sides

• Multiply both sides by 2

When converting an equation to standard form, what should you do if the 'a' coefficient is negative?

• Leave it as it is

• Subtract 1 from all terms

• Add 1 to all terms

• Multiply or divide all terms by -1

What is the standard form of the equation 2y = 3x - 7?

• 3x - 2y = 7

• 3x + 2y = 7

• -3x + 2y = -7

• 3x - 2y = -7

How do you handle fractions when converting to standard form?

• Multiply all terms by the common denominator

• Add the fractions together

• Convert them to decimals

• Leave them as they are

What is the slope of a line parallel to y = 1/3x + 4?

• 3

• -1/3

• -3

• 1/3

What is the equation of a line perpendicular to x = -3?

• x = -3

• y = 4

• x = 3

• y = -3