Question

Given G(7,-9) and H(x,0) with mGH=3 find x

Answer 1

Given:

The points are G(7,-9) and H(x,0).

The gradient is m = 3.

Step-by-step explanation:

The gradient for points (x_1,y_1) and (x_2,y_2) is,

`m=(y_2-y_1)/(x_2-x_1)`

Substitute values in the equation and solve to determine the value of x.

`\begin{gathered} 3=(0-(-9))/(x-7) \\ 3(x-7)=9 \\ x-7=(9)/(3) \\ x=7+3 \\ =10 \end{gathered}`

So value of x is 10.

Answer: x = 10