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A linear equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.

Respuesta :

Answer:

y = mx + b

Step-by-step explanation:

Slope intercept form where m is the slope (rate of change) and b is the y-intercept when x is 0.

Linear equation is the equation of a straight line.

Complete the blank with [tex]\mathbf{y = mx + b}[/tex]

There are several ways to represent a linear equation.

Some of them are:

  • Point slope form:[tex]\mathbf{y -y_1= m(x- x_1) }[/tex],
  • Slope intercept form: [tex]\mathbf{y = mx + b}[/tex].
  • General form: [tex]\mathbf{Ax + By = C}[/tex]

All these forms of linear functions are acceptable, and they can be converted to and from other linear functions.

So, from the question;

The required linear function is the slope intercept form of a linear function i.e. [tex]\mathbf{y = mx + b}[/tex]

Hence, the statement that completes the sentence is:[tex]\mathbf{y = mx + b}[/tex]

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