Answered

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

Sagot :

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

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