Answered

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Determine the value of x so that the slope of the line between (x-2) and (10,3) is -5/6

Sagot :

To find out the answer we need to use the formula of the slope:

[tex]\begin{gathered} m=\text{ }\frac{y2\text{ - y1}}{x2\text{ - x1}} \\ \text{ -}\frac{5}{6}=\frac{3-\lparen-2\rparen}{10\text{ - x}} \\ \text{ -}\frac{5}{6}=\frac{3+2}{10\text{ - x}} \\ \text{ - 5\lparen10 -x\rparen= 6\lparen5\rparen} \\ \text{ -50 + 5x=}30 \\ 5x=\text{ 30 + 50} \\ 5x=\text{ 80} \\ x=\text{ }\frac{80}{5} \\ x=\text{ 16} \end{gathered}[/tex]

The x-value is 16.

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