Standard Form of Linear Equations

The video tutorial explains how to convert a linear equation from point-slope form to standard form. It begins by defining the standard form and its components, then demonstrates the conversion process by manipulating the equation to get all variables on one side. The tutorial concludes by identifying the constants in the final standard form equation.

What is the standard form of a linear equation?

• a x^2 + b x + c = 0

• x^2 + y^2 = r^2

• y = mx + b

• a x + b y = c

Which of the following are constants in the standard form of a linear equation?

• m, b

• x, y

• a, b, c

• r, s, t

What is the first step in converting an equation from point-slope form to standard form?

• Add a constant to both sides

• Divide by the coefficient of x

• Multiply the entire equation by a common factor

• Subtract y from both sides

After multiplying the equation by 7, what is the resulting equation?

• 7y = 6x - 91

• 7y = 13x - 91

• 7y = 6x + 91

• 7y = 13x + 91

What is the value of 'a' in the final standard form of the equation?

• 91

• 7

• -6

• 13

In the final standard form, what are the values of 'b' and 'c'?

• b = -6, c = 91

• b = 91, c = 7

• b = 13, c = 6

• b = 7, c = 91