what is the slope and y intercept of the function k(x)=7/9x-2​

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]              .....1Since, we know that the general form of equation of a line is :      [tex]y=mx+c[/tex]                             .....2where, 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.