Respuesta :

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given : A linear equation in two variables is given to us , which is y = -½ + 3 .

To Find : The slope of the line .

Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,

[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]

Where , m is the slope of the line and c is the y - intercept of the line .

Now , on comparing the equation with the standard form , we have :

  • m ( slope ) = -½ .
  • c ( y - intercept ) = 3 .

Hence the slope of the line is -½.