Question

How do you write $ y = - \dfrac{4}{5}x - 7 $ in standard form?

Answer 1

Hint: First of we will take the given expression and we will compare it with the standard equation $ Ax + By = C $ Where A, B and C are the real numbers and then accordingly we will find the values for A, B and C also we will convert the given expression in the form of standard form.

Complete step-by-step answer:
The standard form of the linear equation is: $ Ax + By = C $
Take the given expression: $ y = - \dfrac{4}{5}x - 7 $
Move the term with the variable “x” on the left hand side of the equation, when you move any term from one side of the equation to the opposite side then the sign of the term also changes. Positive terms become negative and vice-versa.
 $ y + \dfrac{4}{5}x = - 7 $
The above equation can be rearranged and written as –
 $ \dfrac{4}{5}x + y = - 7 $
This is the required solution.
So, the correct answer is “ $ \dfrac{4}{5}x + y = - 7 $ ”.

Note: Remember the difference between the two most commonly used concepts in mathematics, the variables and the constant. Any equation contains the variables and the constants. Variables are the terms expressed using the small alphabets such as x, y, z, … whereas the constants are terms expressed using the mathematical numbers such as $ 1,2,3,.... $ Variables do not have any fixed value whereas constants are the terms with fixed values.