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.