Respuesta :

Answer:

For the given function, Slope is [tex]\frac{7}{9}[/tex] and y-intercept is -2.

Step-by-step explanation:

The given function in x is :

    [tex]k(x)=\frac{7}{9}x-2[/tex]              .....1

Since, we know that the general form of equation of a line is :

     [tex]y=mx+c[/tex]                             .....2

where, y is the dependent variable, x is independent variable, m is the slope and c is the y intercept of the line.

On comparing equation 1 and 2, we get :

[tex]k(x) = y[/tex];

[tex]m = \frac{7}{9}[/tex]; and

[tex]c=-2[/tex];

Thus, we can conclude that

slope of function is [tex]\frac{7}{9}[/tex] and y-intercept is -2.