Given that the slope of line is 3,
Since, Slopie is define as the ratio of rate of change in y-coordinate with respect to change in x-coordinate:
[tex]\text{ Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]From , the given data we have coordinates of line (10, f) and (9, -2) and the slope=3
subtitute the value in the expreesion of slope
[tex]\begin{gathered} \text{Here, x}_1=10,x_2=9,y_1=f,y_2=-2 \\ \text{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ 3=\frac{-2-f}{9-10} \\ 3=\frac{-2-f}{-1} \\ \text{Apply cross multiplication} \\ -3=-2-f \\ f=-2+3 \\ f=1 \end{gathered}[/tex]So, the valur of f =1
Answer : f = 1
