Question

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

Answer 1

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

`\begin{gathered} m=\text{ }\frac{y2\text{ - y1}}{x2\text{ - x1}} \\ \text{ -}(5)/(6)=\frac{3-\lparen-2\rparen}{10\text{ - x}} \\ \text{ -}(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{ }(80)/(5) \\ x=\text{ 16} \end{gathered}`

The x-value is 16.