Given:
The points are G(7,-9) and H(x,0).
The gradient is m = 3.
Explanation:
The gradient for points (x_1,y_1) and (x_2,y_2) is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute values in the equation and solve to determine the value of x.
[tex]\begin{gathered} 3=\frac{0-(-9)}{x-7} \\ 3(x-7)=9 \\ x-7=\frac{9}{3} \\ x=7+3 \\ =10 \end{gathered}[/tex]So value of x is 10.
Answer: x = 10
